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202102211013312 = 2637119177620801
BaseRepresentation
bin101101111100111110010110…
…011111101110101011000000
3222111120210010120112100212010
4231330332112133232223000
5202442220312004411222
61553500250215132520
760366255123150201
oct5574762637565300
9874523116470763
10202102211013312
115943a080361265
121a800919674140
1388a020641c18c
1437c9b2903b5a8
15185722044b80c
hexb7cf967eeac0

202102211013312 has 112 divisors (see below), whose sum is σ = 545099223158784. Its totient is φ = 66070824960000.

The previous prime is 202102211013281. The next prime is 202102211013341. The reversal of 202102211013312 is 213310112201202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36206689 + ... + 41414112.

It is an arithmetic number, because the mean of its divisors is an integer number (4866957349632).

Almost surely, 2202102211013312 is an apocalyptic number.

It is an amenable number.

202102211013312 is an abundant number, since it is smaller than the sum of its proper divisors (342997012145472).

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

202102211013312 is a wasteful number, since it uses less digits than its factorization.

202102211013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77621078 (or 77621068 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 202102211013312 its reverse (213310112201202), we get a palindrome (415412323214514).

The spelling of 202102211013312 in words is "two hundred two trillion, one hundred two billion, two hundred eleven million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 191 192 213 284 382 426 568 573 764 852 1136 1146 1528 1704 2272 2292 3056 3408 4544 4584 6112 6816 9168 12224 13561 13632 18336 27122 36672 40683 54244 81366 108488 162732 216976 325464 433952 650928 867904 1301856 2603712 77620801 155241602 232862403 310483204 465724806 620966408 931449612 1241932816 1862899224 2483865632 3725798448 4967731264 5511076871 7451596896 11022153742 14825572991 14903193792 16533230613 22044307484 29651145982 33066461226 44088614968 44476718973 59302291964 66132922452 88177229936 88953437946 118604583928 132265844904 176354459872 177906875892 237209167856 264531689808 352708919744 355813751784 474418335712 529063379616 711627503568 948836671424 1052615682361 1058126759232 1423255007136 2105231364722 2846510014272 3157847047083 4210462729444 6315694094166 8420925458888 12631388188332 16841850917776 25262776376664 33683701835552 50525552753328 67367403671104 101051105506656 202102211013312