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131010012 = 22327519881
BaseRepresentation
bin1111100111100…
…00110111011100
3100010111222221200
413303300313130
5232014310022
620555555500
73150365250
oct763606734
9303458850
10131010012
1167a51841
1237a5bb90
13211b0423
1413584260
15b77cbac
hex7cf0ddc

131010012 has 36 divisors (see below), whose sum is σ = 378474096. Its totient is φ = 37431360.

The previous prime is 131009993. The next prime is 131010013. The reversal of 131010012 is 210010131.

131010012 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 131009976 and 131010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010013) 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 11 ways as a sum of consecutive naturals, for example, 259689 + ... + 260192.

Almost surely, 2131010012 is an apocalyptic number.

131010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131010012 is an abundant number, since it is smaller than the sum of its proper divisors (247464084).

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

131010012 is a wasteful number, since it uses less digits than its factorization.

131010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519898 (or 519893 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131010012 is about 11445.9605101538. The cubic root of 131010012 is about 507.8882460271. Note that the first 3 decimals are identical.

Adding to 131010012 its reverse (210010131), we get a palindrome (341020143).

It can be divided in two parts, 13 and 1010012, that added together give a square (1010025 = 10052).

The spelling of 131010012 in words is "one hundred thirty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 519881 1039762 1559643 2079524 3119286 3639167 4678929 6238572 7278334 9357858 10917501 14556668 18715716 21835002 32752503 43670004 65505006 131010012