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131041410 = 23514273061
BaseRepresentation
bin1111100111110…
…00100010000010
3100010120121000120
413303320202002
5232021311120
621000401110
73150555633
oct763704202
9303517016
10131041410
1167a73395
1237a76196
13211c17c6
141359188a
15b787140
hex7cf8882

131041410 has 32 divisors (see below), whose sum is σ = 314822592. Its totient is φ = 34908480.

The previous prime is 131041409. The next prime is 131041429. The reversal of 131041410 is 14140131.

It is a super-2 number, since 2×1310414102 = 34343702269576200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131041410.

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 15 ways as a sum of consecutive naturals, for example, 41280 + ... + 44340.

It is an arithmetic number, because the mean of its divisors is an integer number (9838206).

Almost surely, 2131041410 is an apocalyptic number.

131041410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131041410 is an abundant number, since it is smaller than the sum of its proper divisors (183781182).

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

131041410 is a wasteful number, since it uses less digits than its factorization.

131041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131041410 is about 11447.3320035718. The cubic root of 131041410 is about 507.9288164669.

Adding to 131041410 its reverse (14140131), we get a palindrome (145181541).

The spelling of 131041410 in words is "one hundred thirty-one million, forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1427 2854 3061 4281 6122 7135 8562 9183 14270 15305 18366 21405 30610 42810 45915 91830 4368047 8736094 13104141 21840235 26208282 43680470 65520705 131041410