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1002100110102 = 2327131921694689
BaseRepresentation
bin11101001010100011101…
…00100011001100010110
310112210121002011001221200
432211101310203030112
5112404300112010402
62044205231053330
7132253655252010
oct16452164431426
93483532131850
101002100110102
11356a96429783
12142269371246
13736613c4840
14367053211b0
151b100d0121c
hexe951d23316

1002100110102 has 144 divisors (see below), whose sum is σ = 2820316655520. Its totient is φ = 250379983872.

The previous prime is 1002100110097. The next prime is 1002100110163. The reversal of 1002100110102 is 2010110012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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, 256027 + ... + 1438662.

It is an arithmetic number, because the mean of its divisors is an integer number (19585532330).

Almost surely, 21002100110102 is an apocalyptic number.

1002100110102 is an abundant number, since it is smaller than the sum of its proper divisors (1818216545418).

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

1002100110102 is a wasteful number, since it uses less digits than its factorization.

1002100110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694755 (or 1694733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002100110102 its reverse (2010110012001), we get a palindrome (3012210122103).

The spelling of 1002100110102 in words is "one trillion, two billion, one hundred million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 361 399 494 546 722 741 798 819 1083 1197 1482 1638 1729 2166 2223 2394 2527 3249 3458 4446 4693 5054 5187 6498 7581 9386 10374 14079 15162 15561 22743 28158 31122 32851 42237 45486 65702 84474 98553 197106 295659 591318 1694689 3389378 5084067 10168134 11862823 15252201 22030957 23725646 30504402 32199091 35588469 44061914 64398182 66092871 71176938 96597273 106765407 132185742 154216699 193194546 198278613 213530814 225393637 289791819 308433398 396557226 418588183 450787274 462650097 579583638 611782729 676180911 837176366 925300194 1223565458 1255764549 1352361822 1387950291 1835348187 2028542733 2511529098 2775900582 2930117281 3670696374 3767293647 4057085466 4282479103 5506044561 5860234562 7534587294 7953175477 8564958206 8790351843 11012089122 12847437309 15906350954 17580703686 23859526431 25694874618 26371055529 38542311927 47719052862 52742111058 55672228339 71578579293 77084623854 111344456678 143157158586 167016685017 334033370034 501050055051 1002100110102