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102020010321112 = 231361197237134429
BaseRepresentation
bin10111001100100101100010…
…011110011010010011011000
3111101020000110221010000101221
4113030211202132122103120
5101332443440120233422
61000551202402221424
730326462650442032
oct2714454236322330
9441200427100357
10102020010321112
112a563497196424
12b5381b3054874
1344c05a42599c0
141b29b1b0b2c52
15bbdb943a63c7
hex5cc96279a4d8

102020010321112 has 128 divisors (see below), whose sum is σ = 210536734161600. Its totient is φ = 46058384332800.

The previous prime is 102020010321017. The next prime is 102020010321193. The reversal of 102020010321112 is 211123010020201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963182714 + ... + 2963217142.

Almost surely, 2102020010321112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020010321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105268367080800).

102020010321112 is an abundant number, since it is smaller than the sum of its proper divisors (108516723840488).

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

102020010321112 is a wasteful number, since it uses less digits than its factorization.

102020010321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37077 (or 37073 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102020010321112 its reverse (211123010020201), we get a palindrome (313143020341313).

The spelling of 102020010321112 in words is "one hundred two trillion, twenty billion, ten million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 61 104 122 197 244 394 488 788 793 1576 1586 2371 2561 3172 4742 5122 6344 9484 10244 12017 18968 20488 24034 30823 34429 48068 61646 68858 96136 123292 137716 144631 156221 246584 275432 289262 312442 447577 467087 578524 624884 895154 934174 1157048 1249768 1790308 1868348 1880203 2100169 3580616 3736696 3760406 4200338 6072131 6782513 7520812 8400676 12144262 13565026 15041624 16801352 24288524 27130052 27302197 28492307 48577048 54260104 54604394 56984614 81631159 88172669 109208788 113969228 163262318 176345338 218417576 227938456 326524636 352690676 370399991 413733293 653049272 705381352 740799982 827466586 1061205067 1481599964 1654933172 2122410134 2963199928 3309866344 4244820268 4979500699 5378532809 8489640536 9959001398 10757065618 16081338323 19918002796 21514131236 32162676646 39836005592 43028262472 64325353292 64733509087 128650706584 129467018174 209057398199 258934036348 418114796398 517868072696 836229592796 980961637703 1672459185592 1961923275406 3923846550812 7847693101624 12752501290139 25505002580278 51010005160556 102020010321112