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131232114 = 232133179229
BaseRepresentation
bin1111101001001…
…11000101110010
3100010221021121200
413310213011302
5232043411424
621004432030
73152311626
oct764470562
9303837550
10131232114
11680936a2
1237b48616
132125a550
1413601186
15b7c38c9
hex7d27172

131232114 has 96 divisors (see below), whose sum is σ = 321484800. Its totient is φ = 38413440.

The previous prime is 131232113. The next prime is 131232133. The reversal of 131232114 is 411232131.

It is a super-3 number, since 3×1312321143 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131232113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572952 + ... + 573180.

It is an arithmetic number, because the mean of its divisors is an integer number (3348800).

Almost surely, 2131232114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160742400).

131232114 is an abundant number, since it is smaller than the sum of its proper divisors (190252686).

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

131232114 is a wasteful number, since it uses less digits than its factorization.

131232114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131232114 is about 11455.6586017566. The cubic root of 131232114 is about 508.1750925775.

Adding to 131232114 its reverse (411232131), we get a palindrome (542464245).

The spelling of 131232114 in words is "one hundred thirty-one million, two hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 79 93 117 158 186 229 234 237 279 403 458 474 558 687 711 806 1027 1209 1374 1422 2054 2061 2418 2449 2977 3081 3627 4122 4898 5954 6162 7099 7254 7347 8931 9243 14198 14694 17862 18091 18486 21297 22041 26793 31837 36182 42594 44082 53586 54273 63674 63891 92287 95511 108546 127782 162819 184574 191022 235183 276861 286533 325638 470366 553722 560821 573066 705549 830583 1121642 1411098 1661166 1682463 2116647 3364926 4233294 5047389 7290673 10094778 14581346 21872019 43744038 65616057 131232114