Search a number
-
+
1220102312022 = 23211229107180533
BaseRepresentation
bin10001110000010011110…
…000111101000001010110
311022122022000202100221100
4101300103300331001112
5124442232142441042
62332301322530530
7154102162351506
oct21602360750126
94278260670840
101220102312022
11430495a46700
12178569966a46
138b0942355a9
14430a6243a06
1521b0e91624c
hex11c13c3d056

1220102312022 has 144 divisors (see below), whose sum is σ = 3034032739920. Its totient is φ = 353640524160.

The previous prime is 1220102311921. The next prime is 1220102312027. The reversal of 1220102312022 is 2202132010221.

1220102312022 is a `hidden beast` number, since 1 + 220 + 10 + 231 + 202 + 2 = 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 = 1220102311986 and 1220102312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220102312027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6668068 + ... + 6848600.

It is an arithmetic number, because the mean of its divisors is an integer number (21069671805).

Almost surely, 21220102312022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220102312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517016369960).

1220102312022 is an abundant number, since it is smaller than the sum of its proper divisors (1813930427898).

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

1220102312022 is a wasteful number, since it uses less digits than its factorization.

1220102312022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180699 (or 180685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1220102312022 its reverse (2202132010221), we get a palindrome (3422234322243).

The spelling of 1220102312022 in words is "one trillion, two hundred twenty billion, one hundred two million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 107 121 174 198 214 242 261 319 321 363 522 638 642 726 957 963 1089 1177 1914 1926 2178 2354 2871 3103 3509 3531 5742 6206 7018 7062 9309 10527 10593 12947 18618 21054 21186 25894 27927 31581 34133 38841 55854 63162 68266 77682 102399 116523 180533 204798 233046 307197 361066 375463 541599 614394 750926 1083198 1126389 1624797 1985863 2252778 3249594 3379167 3971726 5235457 5957589 6758334 10470914 11915178 15706371 17872767 19317031 21844493 31412742 35745534 38634062 43688986 47119113 57590027 57951093 65533479 94238226 115180054 115902186 131066958 172770081 173853279 196600437 212487341 345540162 347706558 393200874 424974682 518310243 560193899 633490297 637462023 1036620486 1120387798 1266980594 1274924046 1680581697 1900470891 1912386069 2337360751 3361163394 3800941782 3824772138 4674721502 5041745091 5701412673 6162132889 7012082253 10083490182 11402825346 12324265778 14024164506 18486398667 21036246759 36972797334 42072493518 55459196001 67783461779 110918392002 135566923558 203350385337 406700770674 610051156011 1220102312022