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131351528 = 237112373127
BaseRepresentation
bin1111101010001…
…00001111101000
3100011011100102102
413311010033220
5232111222103
621011152532
73153320030
oct765041750
9304140372
10131351528
1168165390
1237ba5748
132129c9c9
14136328c0
15b7e8e88
hex7d443e8

131351528 has 128 divisors (see below), whose sum is σ = 327352320. Its totient is φ = 47900160.

The previous prime is 131351513. The next prime is 131351531. The reversal of 131351528 is 825153131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131351528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034201 + ... + 1034327.

It is an arithmetic number, because the mean of its divisors is an integer number (2557440).

Almost surely, 2131351528 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 131351528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163676160).

131351528 is an abundant number, since it is smaller than the sum of its proper divisors (196000792).

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

131351528 is a wasteful number, since it uses less digits than its factorization.

131351528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 131351528 is about 11460.8694260078. The cubic root of 131351528 is about 508.3291829695.

The spelling of 131351528 in words is "one hundred thirty-one million, three hundred fifty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 73 77 88 92 127 146 154 161 184 253 254 292 308 322 506 508 511 584 616 644 803 889 1012 1016 1022 1288 1397 1606 1679 1771 1778 2024 2044 2794 2921 3212 3358 3542 3556 4088 5588 5621 5842 6424 6716 7084 7112 9271 9779 11176 11242 11684 11753 13432 14168 18469 18542 19558 20447 22484 23368 23506 32131 36938 37084 39116 40894 44968 47012 64262 64897 73876 74168 78232 81788 94024 101981 128524 129283 129794 147752 163576 203962 213233 224917 257048 258566 259588 407924 426466 449834 517132 519176 713867 815848 852932 899668 1034264 1427734 1492631 1705864 1799336 2345563 2855468 2985262 4691126 5710936 5970524 9382252 11941048 16418941 18764504 32837882 65675764 131351528