Search a number
-
+
100551651236160 = 26355319712178243
BaseRepresentation
bin10110110111001110000001…
…011101000001100101000000
3111012000122101110102220022220
4112313032001131001211000
5101134414240204024120
6553504442455131040
730115421440241145
oct2667160135014500
9435018343386286
10100551651236160
112a047796823903
12b33b700673a80
134414c98168447
141ab8a23b963cc
15b958a4c17b40
hex5b7381741940

100551651236160 has 448 divisors, whose sum is σ = 327234574985472. Its totient is φ = 26149631033344.

The previous prime is 100551651236129. The next prime is 100551651236161. The reversal of 100551651236160 is 61632156155001.

100551651236160 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 2×1005516512361602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100551651236161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12198424999 + ... + 12198433241.

It is an arithmetic number, because the mean of its divisors is an integer number (730434319164).

Almost surely, 2100551651236160 is an apocalyptic number.

100551651236160 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 100551651236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163617287492736).

100551651236160 is an abundant number, since it is smaller than the sum of its proper divisors (226682923749312).

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

100551651236160 is a wasteful number, since it uses less digits than its factorization.

100551651236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 100551651236160 in words is "one hundred trillion, five hundred fifty-one billion, six hundred fifty-one million, two hundred thirty-six thousand, one hundred sixty".