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131150200 = 2352372479
BaseRepresentation
bin1111101000100…
…11000101111000
3100010210010020211
413310103011320
5232033301300
621003000504
73151521046
oct764230570
9303703224
10131150200
11680380a5
1237b09134
132122c18c
14135bd396
15b7a94ba
hex7d13178

131150200 has 72 divisors (see below), whose sum is σ = 314042400. Its totient is φ = 50935680.

The previous prime is 131150197. The next prime is 131150203. The reversal of 131150200 is 2051131.

It is an interprime number because it is at equal distance from previous prime (131150197) and next prime (131150203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131150203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273561 + ... + 274039.

It is an arithmetic number, because the mean of its divisors is an integer number (4361700).

Almost surely, 2131150200 is an apocalyptic number.

131150200 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 131150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157021200).

131150200 is an abundant number, since it is smaller than the sum of its proper divisors (182892200).

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

131150200 is a wasteful number, since it uses less digits than its factorization.

131150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 131150200 is about 11452.0827800012. The cubic root of 131150200 is about 508.0693376743.

The spelling of 131150200 in words is "one hundred thirty-one million, one hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 479 740 925 958 1369 1480 1850 1916 2395 2738 3700 3832 4790 5476 6845 7400 9580 10952 11975 13690 17723 19160 23950 27380 34225 35446 47900 54760 68450 70892 88615 95800 136900 141784 177230 273800 354460 443075 655751 708920 886150 1311502 1772300 2623004 3278755 3544600 5246008 6557510 13115020 16393775 26230040 32787550 65575100 131150200