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131199372 = 22334725847
BaseRepresentation
bin1111101000111…
…11000110001100
3100010212121201000
413310133012030
5232041334442
621004020300
73152114313
oct764370614
9303777630
10131199372
1168071037
1237b31690
1321248685
14135d327a
15b7b8d4c
hex7d1f18c

131199372 has 48 divisors (see below), whose sum is σ = 347397120. Its totient is φ = 42800976.

The previous prime is 131199371. The next prime is 131199403. The reversal of 131199372 is 273991131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131199371) 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, 7848 + ... + 17999.

It is an arithmetic number, because the mean of its divisors is an integer number (7237440).

Almost surely, 2131199372 is an apocalyptic number.

131199372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131199372 is an abundant number, since it is smaller than the sum of its proper divisors (216197748).

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

131199372 is a wasteful number, since it uses less digits than its factorization.

131199372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25907 (or 25899 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 131199372 is about 11454.2294371992. The cubic root of 131199372 is about 508.1328263660.

The spelling of 131199372 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 25847 51694 77541 103388 155082 232623 310164 465246 697869 930492 1214809 1395738 2429618 2791476 3644427 4859236 7288854 10933281 14577708 21866562 32799843 43733124 65599686 131199372