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131132809620 = 22325728515609
BaseRepresentation
bin111101000100000011…
…1111110000110010100
3110112110212111221021200
41322020013332012110
54122024444401440
6140124103112500
712321410330211
oct1721007760624
9415425457250
10131132809620
115068206382a
12214b8142730
13c49a7a2297
1464bdb08b08
15362752ac30
hex1e881fe194

131132809620 has 36 divisors (see below), whose sum is σ = 397769523060. Its totient is φ = 34968749184.

The previous prime is 131132809607. The next prime is 131132809663. The reversal of 131132809620 is 26908231131.

131132809620 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 28 + 0 + 9 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22561241616 + 108571568004 = 150204^2 + 329502^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364257625 + ... + 364257984.

Almost surely, 2131132809620 is an apocalyptic number.

131132809620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132809620 is an abundant number, since it is smaller than the sum of its proper divisors (266636713440).

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

131132809620 is a wasteful number, since it uses less digits than its factorization.

131132809620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728515624 (or 728515619 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131132809620 in words is "one hundred thirty-one billion, one hundred thirty-two million, eight hundred nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 728515609 1457031218 2185546827 2914062436 3642578045 4371093654 6556640481 7285156090 8742187308 10927734135 13113280962 14570312180 21855468270 26226561924 32783202405 43710936540 65566404810 131132809620