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131012040 = 23357115377
BaseRepresentation
bin1111100111100…
…01010111001000
3100010112002201210
413303301113020
5232014341130
621000013120
73150404205
oct763612710
9303462653
10131012040
1167a53315
1237a611a0
13211b1323
1413584cac
15b77d5b0
hex7cf15c8

131012040 has 64 divisors (see below), whose sum is σ = 398597760. Its totient is φ = 34442240.

The previous prime is 131012039. The next prime is 131012041. The reversal of 131012040 is 40210131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131012039) and next prime (131012041).

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

It is not an unprimeable number, because it can be changed into a prime (131012041) 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, 832 + ... + 16208.

It is an arithmetic number, because the mean of its divisors is an integer number (6228090).

Almost surely, 2131012040 is an apocalyptic number.

131012040 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 131012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199298880).

131012040 is an abundant number, since it is smaller than the sum of its proper divisors (267585720).

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

131012040 is a wasteful number, since it uses less digits than its factorization.

131012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131012040 is about 11446.0491000170. The cubic root of 131012040 is about 507.8908666717.

Adding to 131012040 its reverse (40210131), we get a palindrome (171222171).

The spelling of 131012040 in words is "one hundred thirty-one million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 15377 30754 46131 61508 76885 92262 123016 153770 184524 230655 307540 369048 461310 615080 922620 1091767 1845240 2183534 3275301 4367068 5458835 6550602 8734136 10917670 13101204 16376505 21835340 26202408 32753010 43670680 65506020 131012040