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131520330 = 232517671283
BaseRepresentation
bin1111101011011…
…01011101001010
3100011110220222100
413311231131022
5232132122310
621014534230
73154622124
oct765553512
9304426870
10131520330
1168270197
1238067376
132132b7a6
1413678214
15b82dec0
hex7d6d74a

131520330 has 96 divisors (see below), whose sum is σ = 367758144. Its totient is φ = 32491008.

The previous prime is 131520317. The next prime is 131520341. The reversal of 131520330 is 33025131.

131520330 is a `hidden beast` number, since 1 + 315 + 20 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101869 + ... + 103151.

It is an arithmetic number, because the mean of its divisors is an integer number (3830814).

Almost surely, 2131520330 is an apocalyptic number.

131520330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131520330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183879072).

131520330 is an abundant number, since it is smaller than the sum of its proper divisors (236237814).

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

131520330 is a wasteful number, since it uses less digits than its factorization.

131520330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131520330 is about 11468.2313370458. The cubic root of 131520330 is about 508.5468438092.

Adding to 131520330 its reverse (33025131), we get a palindrome (164545461).

The spelling of 131520330 in words is "one hundred thirty-one million, five hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1283 1530 2010 2278 2566 3015 3417 3849 5695 6030 6415 6834 7698 10251 11390 11547 12830 17085 19245 20502 21811 23094 34170 38490 43622 51255 57735 65433 85961 102510 109055 115470 130866 171922 196299 218110 257883 327165 392598 429805 515766 654330 773649 859610 981495 1289415 1461337 1547298 1962990 2578830 2922674 3868245 4384011 7306685 7736490 8768022 13152033 14613370 21920055 26304066 43840110 65760165 131520330