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131143032 = 233217307349
BaseRepresentation
bin1111101000100…
…01010101111000
3100010202202102100
413310101111320
5232033034112
621002503400
73151461126
oct764212570
9303682370
10131143032
1168032779
1237b04b60
1321228b37
14135ba916
15b7a72dc
hex7d11578

131143032 has 96 divisors (see below), whose sum is σ = 378378000. Its totient is φ = 40891392.

The previous prime is 131143031. The next prime is 131143037. The reversal of 131143032 is 230341131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131142996 and 131143014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375594 + ... + 375942.

Almost surely, 2131143032 is an apocalyptic number.

131143032 is a gapful number since it is divisible by the number (12) 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 131143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189189000).

131143032 is an abundant number, since it is smaller than the sum of its proper divisors (247234968).

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

131143032 is a wasteful number, since it uses less digits than its factorization.

131143032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131143032 is about 11451.7698195519. The cubic root of 131143032 is about 508.0600813474.

Adding to 131143032 its reverse (230341131), we get a palindrome (361484163).

The spelling of 131143032 in words is "one hundred thirty-one million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 307 349 408 612 614 698 921 1047 1224 1228 1396 1842 2094 2456 2763 2792 3141 3684 4188 5219 5526 5933 6282 7368 8376 10438 11052 11866 12564 15657 17799 20876 22104 23732 25128 31314 35598 41752 46971 47464 53397 62628 71196 93942 106794 107143 125256 142392 187884 213588 214286 321429 375768 427176 428572 642858 857144 964287 1285716 1821431 1928574 2571432 3642862 3857148 5464293 7285724 7714296 10928586 14571448 16392879 21857172 32785758 43714344 65571516 131143032