Search a number
-
+
102560472925977 = 31119363313450227
BaseRepresentation
bin10111010100011100111000…
…100011101000011100011001
3111110010200111200212000201110
4113110130320203220130121
5101420322322032112402
61002043344131410533
730413515062000423
oct2724347043503431
9443120450760643
10102560472925977
112a75171a247830
12b604aa6a53a49
13452c54624b101
141b47d4c0c3813
15bccc773ee56c
hex5d47388e8719

102560472925977 has 32 divisors (see below), whose sum is σ = 157031170168320. Its totient is φ = 58886103064320.

The previous prime is 102560472925969. The next prime is 102560472925997. The reversal of 102560472925977 is 779529274065201.

It is not a de Polignac number, because 102560472925977 - 23 = 102560472925969 is a prime.

It is a super-2 number, since 2×1025604729259772 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102560472925907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227572138 + ... + 228022364.

It is an arithmetic number, because the mean of its divisors is an integer number (4907224067760).

Almost surely, 2102560472925977 is an apocalyptic number.

It is an amenable number.

102560472925977 is a deficient number, since it is larger than the sum of its proper divisors (54470697242343).

102560472925977 is a wasteful number, since it uses less digits than its factorization.

102560472925977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813573.

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 102560472925977 in words is "one hundred two trillion, five hundred sixty billion, four hundred seventy-two million, nine hundred twenty-five thousand, nine hundred seventy-seven".

Divisors: 1 3 11 19 33 57 209 627 363313 450227 1089939 1350681 3996443 4952497 6902947 8554313 11989329 14857491 20708841 25662939 75932417 94097443 227797251 282292329 163573322051 490719966153 1799306542561 3107893118969 5397919627683 9323679356907 34186824308659 102560472925977