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131330232 = 233211792099
BaseRepresentation
bin1111101001111…
…11000010111000
3100011010021012200
413310333002320
5232110031412
621010510200
73153200655
oct764770270
9304107180
10131330232
1168150390
1237b95360
13212930c7
1413628c2c
15b7e29dc
hex7d3f0b8

131330232 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 39274560.

The previous prime is 131330201. The next prime is 131330273. The reversal of 131330232 is 232033131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61519 + ... + 63617.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2131330232 is an apocalyptic number.

131330232 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 131330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

131330232 is an abundant number, since it is smaller than the sum of its proper divisors (261789768).

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

131330232 is a wasteful number, since it uses less digits than its factorization.

131330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131330232 is about 11459.9403139807. The cubic root of 131330232 is about 508.3017097112.

Adding to 131330232 its reverse (232033131), we get a palindrome (363363363).

The spelling of 131330232 in words is "one hundred thirty-one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 396 474 632 711 792 869 948 1422 1738 1896 2099 2607 2844 3476 4198 5214 5688 6297 6952 7821 8396 10428 12594 15642 16792 18891 20856 23089 25188 31284 37782 46178 50376 62568 69267 75564 92356 138534 151128 165821 184712 207801 277068 331642 415602 497463 554136 663284 831204 994926 1326568 1492389 1662408 1824031 1989852 2984778 3648062 3979704 5472093 5969556 7296124 10944186 11939112 14592248 16416279 21888372 32832558 43776744 65665116 131330232