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102002111212122 = 232113197171320977
BaseRepresentation
bin10111001100010100110111…
…100110101110101001011010
3111101011022021111210001211100
4113030110313212232221122
5101332200310432241442
61000535042322212230
730325260255512562
oct2714246746565132
9441138244701740
10102002111212122
112a556941653970
12b5348387b4076
1344bb9b0bc2654
141b28cddc29da2
15bbd497ccb84c
hex5cc5379aea5a

102002111212122 has 96 divisors (see below), whose sum is σ = 251438890719744. Its totient is φ = 29604264652800.

The previous prime is 102002111212117. The next prime is 102002111212207. The reversal of 102002111212122 is 221212111200201.

102002111212122 is a `hidden beast` number, since 10 + 200 + 211 + 121 + 2 + 122 = 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 = 102002111212095 and 102002111212104.

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, 85065103 + ... + 86255874.

It is an arithmetic number, because the mean of its divisors is an integer number (2619155111664).

Almost surely, 2102002111212122 is an apocalyptic number.

102002111212122 is an abundant number, since it is smaller than the sum of its proper divisors (149436779507622).

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

102002111212122 is a wasteful number, since it uses less digits than its factorization.

102002111212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171321124 (or 171321121 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102002111212122 its reverse (221212111200201), we get a palindrome (323214222412323).

The spelling of 102002111212122 in words is "one hundred two trillion, two billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 97 99 186 194 198 279 291 341 558 582 682 873 1023 1067 1746 2046 2134 3007 3069 3201 6014 6138 6402 9021 9603 18042 19206 27063 33077 54126 66154 99231 198462 297693 595386 171320977 342641954 513962931 1027925862 1541888793 1884530747 3083777586 3769061494 5310950287 5653592241 10621900574 11307184482 15932850861 16618134769 16960776723 31865701722 33236269538 33921553446 47798552583 49854404307 58420453157 95597105166 99708808614 116840906314 149563212921 175261359471 182799482459 299126425842 350522718942 365598964918 515162177839 525784078413 548398447377 1030324355678 1051568156826 1096796894754 1545486533517 1645195342131 3090973067034 3290390684262 4636459600551 5666783956229 9272919201102 11333567912458 17000351868687 34000703737374 51001055606061 102002111212122