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102740101560 = 23325619914721
BaseRepresentation
bin101111110101111001…
…0011000100110111000
3100211012010121220221200
41133223302120212320
53140402431222220
6115110444534200
710264665311535
oct1375362304670
9324163556850
10102740101560
113a632121a48
1217ab3551360
1398c43c7005
144d88d31d8c
152a14a91890
hex17ebc989b8

102740101560 has 192 divisors, whose sum is σ = 339793608960. Its totient is φ = 26915328000.

The previous prime is 102740101549. The next prime is 102740101561. The reversal of 102740101560 is 65101047201.

It is a happy number.

102740101560 is a `hidden beast` number, since 102 + 7 + 401 + 0 + 156 + 0 = 666.

102740101560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1027401015602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102740101561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21760000 + ... + 21764720.

It is an arithmetic number, because the mean of its divisors is an integer number (1769758380).

Almost surely, 2102740101560 is an apocalyptic number.

102740101560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102740101560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169896804480).

102740101560 is an abundant number, since it is smaller than the sum of its proper divisors (237053507400).

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

102740101560 is a wasteful number, since it uses less digits than its factorization.

102740101560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 102740101560 its reverse (65101047201), we get a palindrome (167841148761).

The spelling of 102740101560 in words is "one hundred two billion, seven hundred forty million, one hundred one thousand, five hundred sixty".