Search a number
-
+
131014092 = 223115361307
BaseRepresentation
bin1111100111100…
…01110111001100
3100010112012112210
413303301313030
5232014422332
621000030420
73150413166
oct763616714
9303465483
10131014092
1167a54910
1237a62410
13211b2241
1413585936
15b77decc
hex7cf1dcc

131014092 has 96 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 38188800.

The previous prime is 131014073. The next prime is 131014097. The reversal of 131014092 is 290410131.

It is not an unprimeable number, because it can be changed into a prime (131014097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 426603 + ... + 426909.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2131014092 is an apocalyptic number.

131014092 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 131014092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

131014092 is an abundant number, since it is smaller than the sum of its proper divisors (215463732).

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

131014092 is a wasteful number, since it uses less digits than its factorization.

131014092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131014092 is about 11446.1387375831. The cubic root of 131014092 is about 507.8935183024.

The spelling of 131014092 in words is "one hundred thirty-one million, fourteen thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 61 66 106 122 132 159 183 212 244 307 318 366 583 614 636 671 732 921 1166 1228 1342 1749 1842 2013 2332 2684 3233 3377 3498 3684 4026 6466 6754 6996 8052 9699 10131 12932 13508 16271 18727 19398 20262 32542 35563 37454 38796 40524 48813 56181 65084 71126 74908 97626 106689 112362 142252 178981 195252 205997 213378 224724 357962 411994 426756 536943 617991 715924 823988 992531 1073886 1235982 1985062 2147772 2471964 2977593 3970124 5955186 10917841 11910372 21835682 32753523 43671364 65507046 131014092