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131220232 = 231113196037
BaseRepresentation
bin1111101001001…
…00001100001000
3100010220200022121
413310210030020
5232043021412
621004301024
73152232163
oct764441410
9303820277
10131220232
1168085780
1237b41774
1321255010
14135daada
15b7c0107
hex7d24308

131220232 has 64 divisors (see below), whose sum is σ = 304315200. Its totient is φ = 52151040.

The previous prime is 131220223. The next prime is 131220253. The reversal of 131220232 is 232022131.

It is a super-2 number, since 2×1312202322 = 34437498572267648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18718 + ... + 24754.

It is an arithmetic number, because the mean of its divisors is an integer number (4754925).

Almost surely, 2131220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152157600).

131220232 is an abundant number, since it is smaller than the sum of its proper divisors (173094968).

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

131220232 is a wasteful number, since it uses less digits than its factorization.

131220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131220232 is about 11455.1399816851. The cubic root of 131220232 is about 508.1597550748.

Adding to 131220232 its reverse (232022131), we get a palindrome (363242363).

The spelling of 131220232 in words is "one hundred thirty-one million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1672 1976 2717 5434 6037 10868 12074 21736 24148 48296 66407 78481 114703 132814 156962 229406 265628 313924 458812 531256 627848 863291 917624 1261733 1491139 1726582 2523466 2982278 3453164 5046932 5964556 6906328 10093864 11929112 16402529 32805058 65610116 131220232