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113212021320 = 233253719334397
BaseRepresentation
bin110100101101111110…
…1100101101001001000
3101211012221101120021200
41221123331211221020
53323324234140240
6124001530304200
711115333206046
oct1513375455110
9354187346250
10113212021320
1144016264292
1219b36588060
13a8a2ab7338
14569da1b396
152e290bc930
hex1a5bf65a48

113212021320 has 192 divisors, whose sum is σ = 378164844720. Its totient is φ = 29352056832.

The previous prime is 113212021313. The next prime is 113212021327. The reversal of 113212021320 is 23120212311.

113212021320 is a `hidden beast` number, since 1 + 1 + 321 + 2 + 0 + 21 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (113212021313) and next prime (113212021327).

It can be written as a sum of positive squares in 8 ways, for example, as 82636701156 + 30575320164 = 287466^2 + 174858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113212021293 and 113212021302.

It is not an unprimeable number, because it can be changed into a prime (113212021327) 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, 25745362 + ... + 25749758.

Almost surely, 2113212021320 is an apocalyptic number.

113212021320 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 113212021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189082422360).

113212021320 is an abundant number, since it is smaller than the sum of its proper divisors (264952823400).

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

113212021320 is a wasteful number, since it uses less digits than its factorization.

113212021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113212021320 its reverse (23120212311), we get a palindrome (136332233631).

The spelling of 113212021320 in words is "one hundred thirteen billion, two hundred twelve million, twenty-one thousand, three hundred twenty".