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102221021200212 = 2235470872233433
BaseRepresentation
bin10111001111100000101111…
…101010000011111101010100
3111101221020022201112200100000
4113033200233222003331110
5101344242122411401322
61001223404443051300
730350140124640315
oct2717405752037524
9441836281480300
10102221021200212
112a630767630aa2
12b56b151210b30
134506529b24a95
141b3574953460c
15bc400b45a3ac
hex5cf82fa83f54

102221021200212 has 72 divisors (see below), whose sum is σ = 267967911609216. Its totient is φ = 34072934845248.

The previous prime is 102221021200169. The next prime is 102221021200213. The reversal of 102221021200212 is 212002120122201.

It is a happy number.

102221021200212 is a `hidden beast` number, since 1 + 0 + 22 + 210 + 21 + 200 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221021200213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44651848 + ... + 46885280.

It is an arithmetic number, because the mean of its divisors is an integer number (3721776550128).

Almost surely, 2102221021200212 is an apocalyptic number.

102221021200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221021200212 is an abundant number, since it is smaller than the sum of its proper divisors (165746890409004).

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

102221021200212 is a wasteful number, since it uses less digits than its factorization.

102221021200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280539 (or 2280525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221021200212 its reverse (212002120122201), we get a palindrome (314223141322413).

The spelling of 102221021200212 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 47087 94174 141261 188348 282522 423783 565044 847566 1271349 1695132 2233433 2542698 3814047 4466866 5085396 6700299 7628094 8933732 11442141 13400598 15256188 20100897 22884282 26801196 40201794 45768564 60302691 80403588 120605382 180908073 241210764 361816146 542724219 723632292 1085448438 2170896876 105165659671 210331319342 315496979013 420662638684 630993958026 946490937039 1261987916052 1892981874078 2839472811117 3785963748156 5678945622234 8518418433351 11357891244468 17036836866702 25555255300053 34073673733404 51110510600106 102221021200212