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131989130 = 25713145043
BaseRepresentation
bin1111101110111…
…11111010001010
3100012100202001022
413313133322022
5232242123010
621032552442
73161613650
oct767377212
9305322038
10131989130
1168560429
1238252722
1321463ca0
141375add0
15b8c2d55
hex7ddfe8a

131989130 has 32 divisors (see below), whose sum is σ = 292408704. Its totient is φ = 41772096.

The previous prime is 131989097. The next prime is 131989163. The reversal of 131989130 is 31989131.

It is an interprime number because it is at equal distance from previous prime (131989097) and next prime (131989163).

It is a super-2 number, since 2×1319891302 = 34842260876313800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 71612 + ... + 73431.

It is an arithmetic number, because the mean of its divisors is an integer number (9137772).

Almost surely, 2131989130 is an apocalyptic number.

131989130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131989130 is an abundant number, since it is smaller than the sum of its proper divisors (160419574).

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

131989130 is a wasteful number, since it uses less digits than its factorization.

131989130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145070.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 131989130 is about 11488.6522273067. The cubic root of 131989130 is about 509.1503602784.

Subtracting from 131989130 its reverse (31989131), we obtain a palindrome (99999999).

The spelling of 131989130 in words is "one hundred thirty-one million, nine hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 145043 290086 725215 1015301 1450430 1885559 2030602 3771118 5076505 9427795 10153010 13198913 18855590 26397826 65994565 131989130