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102120110022 = 23722334213541
BaseRepresentation
bin101111100011011010…
…1010011011111000110
3100202120221000002110010
41133012311103133012
53133120222010042
6114525140211050
710243426420200
oct1370665233706
9322527002403
10102120110022
113a34415a147
121795b999a86
139825b1bb08
144d2a863770
1529ca42559c
hex17c6d537c6

102120110022 has 96 divisors (see below), whose sum is σ = 239239544544. Its totient is φ = 28974758400.

The previous prime is 102120109991. The next prime is 102120110023. The reversal of 102120110022 is 220011021201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120110023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28837572 + ... + 28841112.

It is an arithmetic number, because the mean of its divisors is an integer number (2492078589).

Almost surely, 2102120110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119619772272).

102120110022 is an abundant number, since it is smaller than the sum of its proper divisors (137119434522).

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

102120110022 is a wasteful number, since it uses less digits than its factorization.

102120110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120110022 its reverse (220011021201), we get a palindrome (322131131223).

The spelling of 102120110022 in words is "one hundred two billion, one hundred twenty million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 421 466 699 842 1263 1398 1631 2526 2947 3262 3541 4893 5894 7082 8841 9786 10623 11417 17682 20629 21246 22834 24787 34251 41258 49574 61887 68502 74361 98093 123774 148722 173509 196186 294279 347018 520527 588558 686651 825053 1041054 1373302 1490761 1650106 2059953 2475159 2981522 4119906 4472283 4806557 4950318 5775371 8944566 9613114 10435327 11550742 14419671 17326113 20870654 28839342 31305981 34652226 40427597 62611962 73047289 80855194 121282791 146094578 219141867 242565582 347347313 438283734 694694626 1042041939 2084083878 2431431191 4862862382 7294293573 14588587146 17020018337 34040036674 51060055011 102120110022