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102212110110 = 235113377431237
BaseRepresentation
bin101111100110001010…
…0010000011100011110
3100202211100010011211210
41133030110100130132
53133312300010420
6114542224125250
710245624413055
oct1371424203436
9322740104753
10102212110110
113a391087180
1217986766826
13983bbc1236
144d38b7139c
1529d35499e0
hex17cc51071e

102212110110 has 128 divisors (see below), whose sum is σ = 268982498304. Its totient is φ = 24651970560.

The previous prime is 102212110103. The next prime is 102212110127. The reversal of 102212110110 is 11011212201.

It is a congruent number.

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, 82628412 + ... + 82629648.

It is an arithmetic number, because the mean of its divisors is an integer number (2101425768).

Almost surely, 2102212110110 is an apocalyptic number.

102212110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134491249152).

102212110110 is an abundant number, since it is smaller than the sum of its proper divisors (166770388194).

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

102212110110 is a wasteful number, since it uses less digits than its factorization.

102212110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102212110110 its reverse (11011212201), we get a palindrome (113223322311).

The spelling of 102212110110 in words is "one hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 337 674 743 1011 1237 1486 1685 2022 2229 2474 3370 3707 3711 3715 4458 5055 6185 7414 7422 7430 8173 10110 11121 11145 12370 13607 16346 18535 18555 22242 22290 24519 27214 37070 37110 40821 40865 49038 55605 68035 81642 81730 111210 122595 136070 204105 245190 250391 408210 416869 500782 751173 833738 919091 1250607 1251955 1502346 1838182 2084345 2501214 2503910 2754301 2757273 3755865 4168690 4585559 4595455 5508602 5514546 6253035 7511730 8262903 9171118 9190910 10110001 12506070 13756677 13771505 13786365 16525806 20220002 22927795 27513354 27543010 27572730 30330003 41314515 45855590 50550005 60660006 68783385 82629030 101100010 137566770 151650015 303300030 309733667 619467334 929201001 1548668335 1858402002 3097336670 3407070337 4646005005 6814140674 9292010010 10221211011 17035351685 20442422022 34070703370 51106055055 102212110110