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101060160656 = 24713193653129
BaseRepresentation
bin101111000011110100…
…1111010110010010000
3100122212001112002021012
41132013221322302100
53123432400120111
6114232033550052
710205236122620
oct1360751726220
9318761462235
10101060160656
113994a90a534
1217704a15328
1396b7351a40
144c69b8c880
15296735148b
hex1787a7ac90

101060160656 has 80 divisors (see below), whose sum is σ = 253673347200. Its totient is φ = 37875631104.

The previous prime is 101060160613. The next prime is 101060160659. The reversal of 101060160656 is 656061060101.

101060160656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101060160659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798901 + ... + 1854228.

It is an arithmetic number, because the mean of its divisors is an integer number (3170916840).

Almost surely, 2101060160656 is an apocalyptic number.

101060160656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101060160656 is an abundant number, since it is smaller than the sum of its proper divisors (152613186544).

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

101060160656 is a wasteful number, since it uses less digits than its factorization.

101060160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653176 (or 3653170 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 101060160656 in words is "one hundred one billion, sixty million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 13832 27664 3653129 7306258 14612516 25571903 29225032 47490677 51143806 58450064 69409451 94981354 102287612 138818902 189962708 204575224 277637804 332434739 379925416 409150448 485866157 555275608 664869478 759850832 902322863 971732314 1110551216 1329738956 1804645726 1943464628 2659477912 3609291452 3886929256 5318955824 6316260041 7218582904 7773858512 12632520082 14437165808 25265040164 50530080328 101060160656