Search a number
-
+
101306242215360 = 26325713386547017
BaseRepresentation
bin10111000010001100110010…
…100101001010110111000000
3111021200210010012111101012100
4113002030302211022313000
5101234300141001342420
6555243240054430400
730224064056602350
oct2702146245126700
9437623105441170
10101306242215360
112a308810756136
12b4419b3662400
13446b1a3554430
141b0336941ab60
15baa31b725190
hex5c233294adc0

101306242215360 has 336 divisors, whose sum is σ = 428863093154496. Its totient is φ = 21374503796736.

The previous prime is 101306242215329. The next prime is 101306242215389. The reversal of 101306242215360 is 63512242603101.

101306242215360 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 62 + 42 + 21 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193011429 + ... + 193535588.

It is an arithmetic number, because the mean of its divisors is an integer number (1276378253436).

Almost surely, 2101306242215360 is an apocalyptic number.

101306242215360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101306242215360 is an abundant number, since it is smaller than the sum of its proper divisors (327556850939136).

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

101306242215360 is a wasteful number, since it uses less digits than its factorization.

101306242215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386547060 (or 386547047 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 101306242215360 its reverse (63512242603101), we get a palindrome (164818484818461).

The spelling of 101306242215360 in words is "one hundred one trillion, three hundred six billion, two hundred forty-two million, two hundred fifteen thousand, three hundred sixty".