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220102112102022 = 232232924957127529
BaseRepresentation
bin110010000010111010000100…
…001101001100011010000110
31001212022120000122000210202200
4302002322010031030122012
5212322123111144231042
62100041303040215330
764234565344024653
oct6202720415143206
91055276018023680
10220102112102022
116414986625aa47
122082932000a546
1395a7703819757
143c4cddb61cc2a
151a6a5637b7c4c
hexc82e8434c686

220102112102022 has 144 divisors (see below), whose sum is σ = 515481265297440. Its totient is φ = 67743371469312.

The previous prime is 220102112102011. The next prime is 220102112102023. The reversal of 220102112102022 is 220201211201022.

It is a happy number.

220102112102022 is a `hidden beast` number, since 2 + 201 + 0 + 211 + 210 + 20 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220102112101986 and 220102112102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102112102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1725834754 + ... + 1725962282.

It is an arithmetic number, because the mean of its divisors is an integer number (3579731009010).

Almost surely, 2220102112102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102112102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257740632648720).

220102112102022 is an abundant number, since it is smaller than the sum of its proper divisors (295379153195418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220102112102022 is a wasteful number, since it uses less digits than its factorization.

220102112102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132575 (or 132543 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220102112102022 its reverse (220201211201022), we get a palindrome (440303323303044).

The spelling of 220102112102022 in words is "two hundred twenty trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 841 1334 1682 2001 2523 4002 4957 5046 6003 7569 9914 12006 14871 15138 19343 29742 38686 44613 58029 89226 114011 116058 127529 143753 174087 228022 255058 287506 342033 348174 382587 431259 684066 765174 862518 1026099 1147761 1293777 2052198 2295522 2587554 2933167 3306319 3698341 4168837 5866334 6612638 7396682 8337674 8799501 9918957 11095023 12506511 17599002 19837914 22190046 25013022 26398503 29756871 33285069 37519533 52797006 59513742 66570138 75039066 85061843 95883251 107251889 170123686 191766502 214503778 255185529 287649753 321755667 510371058 575299506 632161253 643511334 765556587 862949259 965267001 1264322506 1531113174 1725898518 1896483759 1930534002 2466793447 3792967518 4933586894 5689451277 7400380341 11378902554 14539708819 14800760682 18332676337 22201141023 29079417638 36665352674 43619126457 44402282046 54998029011 87238252914 109996058022 130857379371 164994087033 261714758742 329988174066 421651555751 531647613773 843303111502 1063295227546 1264954667253 1594942841319 2529909334506 3189885682638 3794864001759 4784828523957 7589728003518 9569657047914 12227895116779 24455790233558 36683685350337 73367370700674 110051056051011 220102112102022