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131778042 = 23118872251
BaseRepresentation
bin1111101101011…
…00010111111010
3100011222000111020
413312230113322
5232213344132
621024243310
73160044354
oct766542772
9304860436
10131778042
1168426880
1238170536
13213bbb96
14137040d4
15b88052c
hex7dac5fa

131778042 has 32 divisors (see below), whose sum is σ = 287967744. Its totient is φ = 39870000.

The previous prime is 131778019. The next prime is 131778047. The reversal of 131778042 is 240877131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131777994 and 131778012.

It is not an unprimeable number, because it can be changed into a prime (131778047) 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, 57417 + ... + 59667.

It is an arithmetic number, because the mean of its divisors is an integer number (8998992).

Almost surely, 2131778042 is an apocalyptic number.

131778042 is an abundant number, since it is smaller than the sum of its proper divisors (156189702).

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

131778042 is a wasteful number, since it uses less digits than its factorization.

131778042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 131778042 is about 11479.4617469636. The cubic root of 131778042 is about 508.8787902463.

The spelling of 131778042 in words is "one hundred thirty-one million, seven hundred seventy-eight thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 887 1774 2251 2661 4502 5322 6753 9757 13506 19514 24761 29271 49522 58542 74283 148566 1996637 3993274 5989911 11979822 21963007 43926014 65889021 131778042