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131084700 = 22352795531
BaseRepresentation
bin1111101000000…
…11000110011100
3100010122210101220
413310003012130
5232024202300
621001333340
73151126065
oct764030634
9303583356
10131084700
1167aa296a
1237a97250
1321208416
14135a356c
15b794da0
hex7d0319c

131084700 has 72 divisors (see below), whose sum is σ = 384142080. Its totient is φ = 34507200.

The previous prime is 131084699. The next prime is 131084717. The reversal of 131084700 is 7480131.

It is a congruent 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, 20935 + ... + 26465.

Almost surely, 2131084700 is an apocalyptic number.

131084700 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 131084700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192071040).

131084700 is an abundant number, since it is smaller than the sum of its proper divisors (253057380).

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

131084700 is a wasteful number, since it uses less digits than its factorization.

131084700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 131084700 is about 11449.2226810382. Note that the first 3 decimals coincide. The cubic root of 131084700 is about 507.9847423446.

The spelling of 131084700 in words is "one hundred thirty-one million, eighty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5531 5925 7900 11062 11850 16593 22124 23700 27655 33186 55310 66372 82965 110620 138275 165930 276550 331860 414825 436949 553100 829650 873898 1310847 1659300 1747796 2184745 2621694 4369490 5243388 6554235 8738980 10923725 13108470 21847450 26216940 32771175 43694900 65542350 131084700