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102210001012 = 22722393136971
BaseRepresentation
bin101111100110000110…
…0001101100001110100
3100202211012011000201001
41133030030031201310
53133311230013022
6114542111013044
710245600450100
oct1371414154164
9322735130631
10102210001012
113a38a976619
1217985b0a184
13983b633252
144d38782900
1529d327eb27
hex17cc30d874

102210001012 has 72 divisors (see below), whose sum is σ = 209638558080. Its totient is φ = 43475402880.

The previous prime is 102210000967. The next prime is 102210001063. The reversal of 102210001012 is 210100012201.

It is a self number, because there is not a number n which added to its sum of digits gives 102210001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14658687 + ... + 14665657.

It is an arithmetic number, because the mean of its divisors is an integer number (2911646640).

Almost surely, 2102210001012 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 102210001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104819279040).

102210001012 is an abundant number, since it is smaller than the sum of its proper divisors (107428557068).

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

102210001012 is a wasteful number, since it uses less digits than its factorization.

102210001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102210001012 its reverse (210100012201), we get a palindrome (312310013213).

The spelling of 102210001012 in words is "one hundred two billion, two hundred ten million, one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 239 313 478 626 956 1252 1673 2191 3346 4382 6692 6971 8764 11711 13942 15337 23422 27884 30674 46844 48797 61348 74807 97594 149614 195188 299228 341579 523649 683158 1047298 1366316 1666069 2094596 2181923 3332138 3665543 4363846 6664276 7331086 8727692 11662483 14662172 15273461 23324966 30546922 46649932 61093844 81637381 106914227 163274762 213828454 326549524 427656908 521479597 1042959194 2085918388 3650357179 7300714358 14601428716 25552500253 51105000506 102210001012