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131311020 = 22359472311
BaseRepresentation
bin1111101001110…
…10010110101100
3100011002021212010
413310322112230
5232103423040
621010241220
73153060651
oct764722654
9304067763
10131311020
1168137a05
1237b86210
1321287439
1413621c28
15b7dbe80
hex7d3a5ac

131311020 has 48 divisors (see below), whose sum is σ = 368218368. Its totient is φ = 34964160.

The previous prime is 131311001. The next prime is 131311027. The reversal of 131311020 is 20113131.

It is a super-5 number, since 5×1313110205 (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131310987 and 131311005.

It is not an unprimeable number, because it can be changed into a prime (131311027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55665 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (7671216).

Almost surely, 2131311020 is an apocalyptic number.

131311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311020 is an abundant number, since it is smaller than the sum of its proper divisors (236907348).

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

131311020 is a wasteful number, since it uses less digits than its factorization.

131311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131311020 is about 11459.1020590620. The cubic root of 131311020 is about 508.2769224033.

Adding to 131311020 its reverse (20113131), we get a palindrome (151424151).

The spelling of 131311020 in words is "one hundred thirty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 947 1894 2311 2841 3788 4622 4735 5682 6933 9244 9470 11364 11555 13866 14205 18940 23110 27732 28410 34665 46220 56820 69330 138660 2188517 4377034 6565551 8754068 10942585 13131102 21885170 26262204 32827755 43770340 65655510 131311020