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102221111112 = 233174127122549
BaseRepresentation
bin101111100110011011…
…0100101111101001000
3100202211222001110220020
41133030312211331020
53133322101023422
6114543145100440
710246064052051
oct1371466457510
9322758043806
10102221111112
113a39617481a
1217989787720
139840a23183
144d3a035728
1529d422695c
hex17ccda5f48

102221111112 has 128 divisors (see below), whose sum is σ = 278220096000. Its totient is φ = 31170355200.

The previous prime is 102221111081. The next prime is 102221111117. The reversal of 102221111112 is 211111122201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102221111091 and 102221111100.

It is not an unprimeable number, because it can be changed into a prime (102221111117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522014 + ... + 4544562.

It is an arithmetic number, because the mean of its divisors is an integer number (2173594500).

Almost surely, 2102221111112 is an apocalyptic number.

102221111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139110048000).

102221111112 is an abundant number, since it is smaller than the sum of its proper divisors (175998984888).

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

102221111112 is a wasteful number, since it uses less digits than its factorization.

102221111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102221111112 its reverse (211111122201), we get a palindrome (313332233313).

The spelling of 102221111112 in words is "one hundred two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 271 328 408 492 542 697 813 984 1084 1394 1626 2091 2168 2788 3252 4182 4607 5576 6504 8364 9214 11111 13821 16728 18428 22222 22549 27642 33333 36856 44444 45098 55284 66666 67647 88888 90196 110568 133332 135294 180392 188887 266664 270588 377774 383333 541176 566661 755548 766666 924509 1133322 1149999 1511096 1533332 1849018 2266644 2299998 2773527 3066664 3698036 4533288 4599996 5547054 6110779 7396072 9199992 11094108 12221558 15716653 18332337 22188216 24443116 31433306 36664674 47149959 48886232 62866612 73329348 94299918 103883243 125733224 146658696 188599836 207766486 250541939 311649729 377199672 415532972 501083878 623299458 751625817 831065944 1002167756 1246598916 1503251634 2004335512 2493197832 3006503268 4259212963 6013006536 8518425926 12777638889 17036851852 25555277778 34073703704 51110555556 102221111112