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131355400 = 23521159707
BaseRepresentation
bin1111101010001…
…01001100001000
3100011011112201211
413311011030020
5232111333100
621011222504
73153334231
oct765051410
9304145654
10131355400
1168168290
1237ba7a34
13212a16b7
1413634088
15b7ea1ba
hex7d45308

131355400 has 48 divisors (see below), whose sum is σ = 333170640. Its totient is φ = 47764800.

The previous prime is 131355373. The next prime is 131355409. The reversal of 131355400 is 4553131.

It is a happy number.

It is a super-2 number, since 2×1313554002 = 34508482218320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131355409) 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, 27654 + ... + 32053.

It is an arithmetic number, because the mean of its divisors is an integer number (6941055).

Almost surely, 2131355400 is an apocalyptic number.

131355400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131355400 is an abundant number, since it is smaller than the sum of its proper divisors (201815240).

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

131355400 is a wasteful number, since it uses less digits than its factorization.

131355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59734 (or 59725 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 131355400 is about 11461.0383473750. The cubic root of 131355400 is about 508.3341777883.

The spelling of 131355400 in words is "one hundred thirty-one million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 59707 119414 238828 298535 477656 597070 656777 1194140 1313554 1492675 2388280 2627108 2985350 3283885 5254216 5970700 6567770 11941400 13135540 16419425 26271080 32838850 65677700 131355400