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131244204 = 223713313877
BaseRepresentation
bin1111101001010…
…10000010101100
3100010221220012110
413310222002230
5232044303304
621005004020
73152362110
oct764520254
9303856173
10131244204
11680a1793
1237b53610
1321262bc0
1413605740
15b7c7289
hex7d2a0ac

131244204 has 96 divisors (see below), whose sum is σ = 389165056. Its totient is φ = 33488640.

The previous prime is 131244203. The next prime is 131244209. The reversal of 131244204 is 402442131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131244203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31914 + ... + 35790.

Almost surely, 2131244204 is an apocalyptic number.

131244204 is a gapful number since it is divisible by the number (14) 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 131244204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194582528).

131244204 is an abundant number, since it is smaller than the sum of its proper divisors (257920852).

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

131244204 is a wasteful number, since it uses less digits than its factorization.

131244204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 131244204 is about 11456.1862764185. The cubic root of 131244204 is about 508.1906976201.

Adding to 131244204 its reverse (402442131), we get a palindrome (533686335).

The spelling of 131244204 in words is "one hundred thirty-one million, two hundred forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 3877 4836 5642 7754 8463 11284 11631 15508 16926 23262 27139 33852 46524 50401 54278 81417 100802 108556 120187 151203 162834 201604 240374 302406 325668 352807 360561 480748 604812 705614 721122 841309 1058421 1411228 1442244 1562431 1682618 2116842 2523927 3124862 3365236 4233684 4687293 5047854 6249724 9374586 10095708 10937017 18749172 21874034 32811051 43748068 65622102 131244204