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131554332 = 223271323089
BaseRepresentation
bin1111101011101…
…01110000011100
3100011112122121200
413311311300130
5232134214312
621015355500
73155123220
oct765656034
9304478550
10131554332
1168293798
1238082b90
1321341100
1413686780
15b8390dc
hex7d75c1c

131554332 has 108 divisors (see below), whose sum is σ = 411662160. Its totient is φ = 34684416.

The previous prime is 131554303. The next prime is 131554333. The reversal of 131554332 is 233455131.

It is a junction number, because it is equal to n+sod(n) for n = 131554296 and 131554305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131554333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41044 + ... + 44132.

Almost surely, 2131554332 is an apocalyptic number.

131554332 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 131554332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205831080).

131554332 is an abundant number, since it is smaller than the sum of its proper divisors (280107828).

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

131554332 is a wasteful number, since it uses less digits than its factorization.

131554332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3114 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 131554332 is about 11469.7136843079. The cubic root of 131554332 is about 508.5906649682.

The spelling of 131554332 in words is "one hundred thirty-one million, five hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3089 3276 3549 4732 6084 6178 7098 9267 10647 12356 14196 18534 21294 21623 27801 37068 40157 42588 43246 55602 64869 80314 86492 111204 120471 129738 160628 194607 240942 259476 281099 361413 389214 481884 522041 562198 722826 778428 843297 1044082 1124396 1445652 1566123 1686594 2088164 2529891 3132246 3373188 3654287 4698369 5059782 6264492 7308574 9396738 10119564 10962861 14617148 18793476 21925722 32888583 43851444 65777166 131554332