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231120021132 = 22327111324472621
BaseRepresentation
bin1101011100111111010…
…0111010011010001100
3211002120011002120000200
43113033310322122030
512241313211134012
6254101452053500
722461240523410
oct3271764723214
9732504076020
10231120021132
118a021254730
1238961764290
1318a43754b70
14b28719ad40
15602a58b3dc
hex35cfd3a68c

231120021132 has 288 divisors, whose sum is σ = 785027303424. Its totient is φ = 55369612800.

The previous prime is 231120021131. The next prime is 231120021157.

231120021132 is a `hidden beast` number, since 2 + 311 + 200 + 21 + 132 = 666.

231120021132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2311200211322 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (231120021131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88178782 + ... + 88181402.

It is an arithmetic number, because the mean of its divisors is an integer number (2725789248).

Almost surely, 2231120021132 is an apocalyptic number.

231120021132 is a gapful number since it is divisible by the number (22) 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 231120021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392513651712).

231120021132 is an abundant number, since it is smaller than the sum of its proper divisors (553907282292).

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

231120021132 is a wasteful number, since it uses less digits than its factorization.

231120021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5104 counting only the distinct ones).

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

It can be divided in two parts, 2311200 and 21132, that added together give a palindrome (2332332).

The spelling of 231120021132 in words is "two hundred thirty-one billion, one hundred twenty million, twenty-one thousand, one hundred thirty-two".