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131561430 = 235711132337
BaseRepresentation
bin1111101011101…
…11011111010110
3100011120000100120
413311313133112
5232134431210
621015452410
73155153010
oct765673726
9304500316
10131561430
1168299060
1238087106
1321344400
14136891b0
15b83b270
hex7d777d6

131561430 has 192 divisors, whose sum is σ = 427534848. Its totient is φ = 25159680.

The previous prime is 131561407. The next prime is 131561501. The reversal of 131561430 is 34165131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131561430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390222 + ... + 390558.

It is an arithmetic number, because the mean of its divisors is an integer number (2226744).

Almost surely, 2131561430 is an apocalyptic number.

131561430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131561430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213767424).

131561430 is an abundant number, since it is smaller than the sum of its proper divisors (295973418).

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

131561430 is a wasteful number, since it uses less digits than its factorization.

131561430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131561430 is about 11470.0231037256. The cubic root of 131561430 is about 508.5998117887.

The spelling of 131561430 in words is "one hundred thirty-one million, five hundred sixty-one thousand, four hundred thirty".