Search a number
-
+
131411052 = 22332352903
BaseRepresentation
bin1111101010100…
…10110001101100
3100011021101002000
413311102301230
5232120123202
621012332300
73153655413
oct765226154
9304241060
10131411052
11681a6083
1238014090
13212c0b26
141364a47a
15b80b91c
hex7d52c6c

131411052 has 48 divisors (see below), whose sum is σ = 355514880. Its totient is φ = 41898384.

The previous prime is 131410991. The next prime is 131411057. The reversal of 131411052 is 250114131.

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 (131411057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23968 + ... + 28935.

It is an arithmetic number, because the mean of its divisors is an integer number (7406560).

Almost surely, 2131411052 is an apocalyptic number.

131411052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131411052 is an abundant number, since it is smaller than the sum of its proper divisors (224103828).

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

131411052 is a wasteful number, since it uses less digits than its factorization.

131411052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52939 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131411052 is about 11463.4659680221. The cubic root of 131411052 is about 508.4059571477.

Adding to 131411052 its reverse (250114131), we get a palindrome (381525183).

The spelling of 131411052 in words is "one hundred thirty-one million, four hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 52903 105806 158709 211612 317418 476127 634836 952254 1216769 1428381 1904508 2433538 2856762 3650307 4867076 5713524 7300614 10950921 14601228 21901842 32852763 43803684 65705526 131411052