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102202202101012 = 221317394612929813
BaseRepresentation
bin10111001111001111001101…
…111100111001010100010100
3111101212102202012002101102221
4113033033031330321110110
5101343440102214213022
61001211013220312124
730345602562144016
oct2717171574712424
9441772665071387
10102202202101012
112a62378a753252
12b56757a842644
13450481acb5220
141b3488200a1b6
15bc37a9205cc7
hex5cf3cdf39514

102202202101012 has 48 divisors (see below), whose sum is σ = 203947188599952. Its totient is φ = 44394386503680.

The previous prime is 102202202101003. The next prime is 102202202101031. The reversal of 102202202101012 is 210101202202201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4199409168516 + 98002792932496 = 2049246^2 + 9899636^2 .

It is a super-2 number, since 2×1022022021010122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33418618 + ... + 36348430.

It is an arithmetic number, because the mean of its divisors is an integer number (4248899762499).

Almost surely, 2102202202101012 is an apocalyptic number.

It is an amenable number.

102202202101012 is a deficient number, since it is larger than the sum of its proper divisors (101744986498940).

102202202101012 is a wasteful number, since it uses less digits than its factorization.

102202202101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969308 (or 2969306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202202101012 its reverse (210101202202201), we get a palindrome (312303404303213).

The spelling of 102202202101012 in words is "one hundred two trillion, two hundred two billion, two hundred two million, one hundred one thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 39461 78922 157844 512993 670837 1025986 1341674 2051972 2683348 2929813 5859626 8720881 11719252 17441762 34883524 38087569 49806821 76175138 99613642 152350276 199227284 647488673 1294977346 2589954692 115613350793 231226701586 462453403172 1502973560309 1965426963481 3005947120618 3930853926962 6011894241236 7861707853924 25550550525253 51101101050506 102202202101012