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131051000 = 2353294519
BaseRepresentation
bin1111100111110…
…10110111111000
3100010121002011202
413303322313320
5232022113000
621000513332
73150625613
oct763726770
9303532152
10131051000
1167a7a613
1237a7b848
13211c5c92
141359517a
15b789dd5
hex7cfadf8

131051000 has 64 divisors (see below), whose sum is σ = 317304000. Its totient is φ = 50601600.

The previous prime is 131050991. The next prime is 131051051. The reversal of 131051000 is 150131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26741 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (4957875).

Almost surely, 2131051000 is an apocalyptic number.

131051000 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 131051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158652000).

131051000 is an abundant number, since it is smaller than the sum of its proper divisors (186253000).

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

131051000 is a wasteful number, since it uses less digits than its factorization.

131051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 131051000 is about 11447.7508708043. The cubic root of 131051000 is about 507.9412067449.

The spelling of 131051000 in words is "one hundred thirty-one million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 4519 5800 7250 9038 14500 18076 22595 29000 36152 45190 90380 112975 131051 180760 225950 262102 451900 524204 564875 655255 903800 1048408 1129750 1310510 2259500 2621020 3276275 4519000 5242040 6552550 13105100 16381375 26210200 32762750 65525500 131051000