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131353700 = 225237131271
BaseRepresentation
bin1111101010001…
…00110001100100
3100011011110101212
413311010301210
5232111304300
621011210552
73153326252
oct765046144
9304143355
10131353700
1168166a85
1237ba6a58
13212a09aa
14136335d2
15b7e9935
hex7d44c64

131353700 has 72 divisors (see below), whose sum is σ = 296064384. Its totient is φ = 50544000.

The previous prime is 131353681. The next prime is 131353711. The reversal of 131353700 is 7353131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484565 + ... + 484835.

Almost surely, 2131353700 is an apocalyptic number.

131353700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148032192).

131353700 is an abundant number, since it is smaller than the sum of its proper divisors (164710684).

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

131353700 is a wasteful number, since it uses less digits than its factorization.

131353700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 131353700 is about 11460.9641828251. The cubic root of 131353700 is about 508.3319848273.

The spelling of 131353700 in words is "one hundred thirty-one million, three hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 131 148 185 262 271 370 524 542 655 740 925 1084 1310 1355 1850 2620 2710 3275 3700 4847 5420 6550 6775 9694 10027 13100 13550 19388 20054 24235 27100 35501 40108 48470 50135 71002 96940 100270 121175 142004 177505 200540 242350 250675 355010 484700 501350 710020 887525 1002700 1313537 1775050 2627074 3550100 5254148 6567685 13135370 26270740 32838425 65676850 131353700