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131053212 = 22328940903
BaseRepresentation
bin1111100111110…
…11011010011100
3100010121012012200
413303323122130
5232022200322
621000531500
73150635223
oct763733234
9303535180
10131053212
1167a81244
1237a80b90
13211c6ca4
1413595cba
15b78a8ac
hex7cfb69c

131053212 has 36 divisors (see below), whose sum is σ = 335003760. Its totient is φ = 43192512.

The previous prime is 131053211. The next prime is 131053217. The reversal of 131053212 is 212350131.

131053212 is a `hidden beast` number, since 131 + 0 + 532 + 1 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131053211) 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, 17248 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (9305660).

Almost surely, 2131053212 is an apocalyptic number.

131053212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131053212 is an abundant number, since it is smaller than the sum of its proper divisors (203950548).

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

131053212 is a wasteful number, since it uses less digits than its factorization.

131053212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41002 (or 40997 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131053212 is about 11447.8474832608. The cubic root of 131053212 is about 507.9440645627.

The spelling of 131053212 in words is "one hundred thirty-one million, fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 40903 81806 122709 163612 245418 368127 490836 736254 1472508 3640367 7280734 10921101 14561468 21842202 32763303 43684404 65526606 131053212