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3131412012 = 2232149583783
BaseRepresentation
bin1011101010100101…
…1000111000101100
322002020022012201200
42322221120320230
522403120141022
61234421005500
7140412364041
oct27251307054
98066265650
103131412012
111367667213
12734853890
133ab9a5921
14219c531c8
15134da0bac
hexbaa58e2c

3131412012 has 36 divisors (see below), whose sum is σ = 7968651600. Its totient is φ = 1036796832.

The previous prime is 3131412007. The next prime is 3131412013. The reversal of 3131412012 is 2102141313.

3131412012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (3131412013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286528 + ... + 297255.

Almost surely, 23131412012 is an apocalyptic number.

It is an amenable number.

3131412012 is an abundant number, since it is smaller than the sum of its proper divisors (4837239588).

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

3131412012 is a wasteful number, since it uses less digits than its factorization.

3131412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583942 (or 583937 counting only the distinct ones).

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

The square root of 3131412012 is about 55959.0208277450. The cubic root of 3131412012 is about 1463.0081239435.

Adding to 3131412012 its reverse (2102141313), we get a palindrome (5233553325).

The spelling of 3131412012 in words is "three billion, one hundred thirty-one million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 583783 1167566 1751349 2335132 3502698 5254047 7005396 10508094 21016188 86983667 173967334 260951001 347934668 521902002 782853003 1043804004 1565706006 3131412012