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102202222122 = 233711131890743
BaseRepresentation
bin101111100101110111…
…0100010011000101010
3100202210122111211002000
41133023232202120222
53133302232101442
6114541232151430
710245444361110
oct1371356423052
9322718454060
10102202222122
113a386543190
1217983398576
139839b3b660
144d37719ab0
1529d2744d4c
hex17cbba262a

102202222122 has 128 divisors (see below), whose sum is σ = 304939192320. Its totient is φ = 24504016320.

The previous prime is 102202222093. The next prime is 102202222151. The reversal of 102202222122 is 221222202201.

102202222122 is a `hidden beast` number, since 10 + 220 + 222 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102202222093) and next prime (102202222151).

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 = 102202222095 and 102202222104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891318 + ... + 999425.

It is an arithmetic number, because the mean of its divisors is an integer number (2382337440).

Almost surely, 2102202222122 is an apocalyptic number.

102202222122 is an abundant number, since it is smaller than the sum of its proper divisors (202736970198).

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

102202222122 is a wasteful number, since it uses less digits than its factorization.

102202222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890785 (or 1890779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102202222122 its reverse (221222202201), we get a palindrome (323424424323).

The spelling of 102202222122 in words is "one hundred two billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 1890743 3781486 5672229 11344458 13235201 17016687 20798173 24579659 26470402 34033374 39705603 41596346 49159318 51050061 62394519 73738977 79411206 102100122 119116809 124789038 145587211 147477954 172057613 187183557 221216931 238233618 270376249 291174422 344115226 357350427 374367114 436761633 442433862 516172839 540752498 561550671 663650793 714700854 811128747 873523266 1032345678 1123101342 1310284899 1327301586 1548518517 1622257494 1892633743 2433386241 2620569798 3097037034 3785267486 3930854697 4645555551 4866772482 5677901229 7300158723 7861709394 9291111102 11355802458 14600317446 17033703687 34067407374 51101111061 102202222122