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220120122101022 = 2321113221933853321
BaseRepresentation
bin110010000011001010110101…
…101011111000110100011110
31001212101021111210000112211200
4302003022311223320310132
5212322422002224213042
62100053442121100330
764236103553343453
oct6203126553706436
91055337453015750
10220120122101022
1164156468451840
12208309076276a6
1395a9313b3b2b0
143c4dc294cd82a
151a6ac69998c4c
hexc832b5af8d1e

220120122101022 has 96 divisors (see below), whose sum is σ = 560331157722336. Its totient is φ = 61569271756800.

The previous prime is 220120122100999. The next prime is 220120122101041. The reversal of 220120122101022 is 220101221021022.

It is a happy number.

220120122101022 is a `hidden beast` number, since 220 + 1 + 201 + 2 + 210 + 10 + 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 = 220120122100986 and 220120122101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55198122 + ... + 59051442.

It is an arithmetic number, because the mean of its divisors is an integer number (5836782892941).

Almost surely, 2220120122101022 is an apocalyptic number.

220120122101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220120122101022 is an abundant number, since it is smaller than the sum of its proper divisors (340211035621314).

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

220120122101022 is a wasteful number, since it uses less digits than its factorization.

220120122101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875546 (or 3875543 counting only the distinct ones).

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

Adding to 220120122101022 its reverse (220101221021022), we get a palindrome (440221343122044).

The spelling of 220120122101022 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 22193 44386 66579 133158 199737 244123 288509 399474 488246 577018 732369 865527 1464738 1731054 2197107 2596581 3173599 3853321 4394214 5193162 6347198 7706642 9520797 11559963 19041594 23119926 28562391 34679889 42386531 50093173 57124782 69359778 84773062 100186346 127159593 150279519 254319186 300559038 381478779 450838557 551024903 762957558 901677114 1102049806 1653074709 3306149418 4959224127 9918448254 85516752953 171033505906 256550258859 513100517718 769650776577 940684282483 1111717788389 1539301553154 1881368564966 2223435576778 2822052847449 3335153365167 5644105694898 6670306730334 8466158542347 10005460095501 12228895672279 16932317084694 20010920191002 24457791344558 36686687016837 73373374033674 110060061050511 220120122101022