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131356200 = 23352732999
BaseRepresentation
bin1111101010001…
…01011000101000
3100011011120211110
413311011120220
5232111344300
621011230320
73153336453
oct765053050
9304146743
10131356200
1168168948
1237ba83a0
13212a1b81
141363449a
15b7ea550
hex7d45628

131356200 has 96 divisors (see below), whose sum is σ = 412920000. Its totient is φ = 34536960.

The previous prime is 131356193. The next prime is 131356213. The reversal of 131356200 is 2653131.

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, 42301 + ... + 45299.

It is an arithmetic number, because the mean of its divisors is an integer number (4301250).

Almost surely, 2131356200 is an apocalyptic number.

131356200 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 131356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206460000).

131356200 is an abundant number, since it is smaller than the sum of its proper divisors (281563800).

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

131356200 is a wasteful number, since it uses less digits than its factorization.

131356200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131356200 is about 11461.0732481736. The cubic root of 131356200 is about 508.3352097634.

The spelling of 131356200 in words is "one hundred thirty-one million, three hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 2999 3650 4380 5475 5998 7300 8760 8997 10950 11996 14600 14995 17994 21900 23992 29990 35988 43800 44985 59980 71976 74975 89970 119960 149950 179940 218927 224925 299900 359880 437854 449850 599800 656781 875708 899700 1094635 1313562 1751416 1799400 2189270 2627124 3283905 4378540 5254248 5473175 6567810 8757080 10946350 13135620 16419525 21892700 26271240 32839050 43785400 65678100 131356200