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31231011132 = 223319311014861
BaseRepresentation
bin11101000101100000…
…110110100100111100
32222121112122202012000
4131011200312210330
51002430114324012
622203004542300
72153635133406
oct350540664474
988545582160
1031231011132
1112277100a02
126077251990
132c39426859
141723b2bb76
15c2bc3cddc
hex74583693c

31231011132 has 192 divisors, whose sum is σ = 88869580800. Its totient is φ = 9447840000.

The previous prime is 31231011131. The next prime is 31231011167. The reversal of 31231011132 is 23111013213.

31231011132 is a `hidden beast` number, since 312 + 310 + 1 + 11 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6422382 + ... + 6427242.

It is an arithmetic number, because the mean of its divisors is an integer number (462862400).

Almost surely, 231231011132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31231011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44434790400).

31231011132 is an abundant number, since it is smaller than the sum of its proper divisors (57638569668).

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

31231011132 is a wasteful number, since it uses less digits than its factorization.

31231011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31231011132 its reverse (23111013213), we get a palindrome (54342024345).

The spelling of 31231011132 in words is "thirty-one billion, two hundred thirty-one million, eleven thousand, one hundred thirty-two".