Search a number
-
+
131351154 = 231131431493
BaseRepresentation
bin1111101010001…
…00001001110010
3100011011022220120
413311010021302
5232111214104
621011151110
73153315654
oct765041162
9304138816
10131351154
1168165080
1237ba5496
132129c79c
14136326d4
15b7e8cd9
hex7d44272

131351154 has 64 divisors (see below), whose sum is σ = 302911488. Its totient is φ = 37598400.

The previous prime is 131351153. The next prime is 131351173. The reversal of 131351154 is 451153131.

It is not an unprimeable number, because it can be changed into a prime (131351153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87232 + ... + 88724.

It is an arithmetic number, because the mean of its divisors is an integer number (4732992).

Almost surely, 2131351154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131351154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151455744).

131351154 is an abundant number, since it is smaller than the sum of its proper divisors (171560334).

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

131351154 is a wasteful number, since it uses less digits than its factorization.

131351154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583.

The product of its digits is 900, while the sum is 24.

The square root of 131351154 is about 11460.8531096075. The cubic root of 131351154 is about 508.3287005102.

The spelling of 131351154 in words is "one hundred thirty-one million, three hundred fifty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 186 258 341 473 682 946 1023 1333 1419 1493 2046 2666 2838 2986 3999 4479 7998 8958 14663 16423 29326 32846 43989 46283 49269 64199 87978 92566 98538 128398 138849 192597 277698 385194 509113 706189 1018226 1412378 1527339 1990169 2118567 3054678 3980338 4237134 5970507 11941014 21891859 43783718 65675577 131351154