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131434668 = 223231117773
BaseRepresentation
bin1111101010110…
…00100010101100
3100011022120110200
413311120202230
5232121402133
621013033500
73154114311
oct765304254
9304276420
10131434668
11682118a2
1238025890
13212cb7c1
1413654d08
15b813913
hex7d588ac

131434668 has 36 divisors (see below), whose sum is σ = 342957888. Its totient is φ = 42397920.

The previous prime is 131434663. The next prime is 131434669. The reversal of 131434668 is 866434131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131434663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57771 + ... + 60002.

It is an arithmetic number, because the mean of its divisors is an integer number (9526608).

Almost surely, 2131434668 is an apocalyptic number.

131434668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131434668 is an abundant number, since it is smaller than the sum of its proper divisors (211523220).

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

131434668 is a wasteful number, since it uses less digits than its factorization.

131434668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117814 (or 117809 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 131434668 is about 11464.4959767100. The cubic root of 131434668 is about 508.4364106895.

Adding to 131434668 its reverse (866434131), we get a palindrome (997868799).

The spelling of 131434668 in words is "one hundred thirty-one million, four hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 117773 235546 353319 471092 706638 1059957 1413276 2119914 3650963 4239828 7301926 10952889 14603852 21905778 32858667 43811556 65717334 131434668