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102210211122 = 23432335233251
BaseRepresentation
bin101111100110000110…
…1000000110100110010
3100202211012112200220220
41133030031000310302
53133311303223442
6114542115313510
710245602313465
oct1371415006462
9322735480826
10102210211122
113a38aaaa468
1217985bab896
13983b6a7a86
144d387d92dc
1529d32c1eec
hex17cc340d32

102210211122 has 64 divisors (see below), whose sum is σ = 210538538496. Its totient is φ = 33061392000.

The previous prime is 102210211109. The next prime is 102210211133. The reversal of 102210211122 is 221112012201.

102210211122 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31437997 + ... + 31441247.

It is an arithmetic number, because the mean of its divisors is an integer number (3289664664).

Almost surely, 2102210211122 is an apocalyptic number.

102210211122 is an abundant number, since it is smaller than the sum of its proper divisors (108328327374).

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

102210211122 is a wasteful number, since it uses less digits than its factorization.

102210211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210211122 its reverse (221112012201), we get a palindrome (323322223323).

The spelling of 102210211122 in words is "one hundred two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 43 86 129 233 258 466 523 699 1046 1398 1569 3138 3251 6502 9753 10019 19506 20038 22489 30057 44978 60114 67467 121859 134934 139793 243718 279586 365577 419379 731154 757483 838758 1514966 1700273 2272449 3400546 4544898 5100819 5239937 10201638 10479874 15719811 31439622 32571769 65143538 73111739 97715307 146223478 195430614 219335217 396163609 438670434 792327218 1188490827 2376981654 17035035187 34070070374 51105105561 102210211122