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131560434225 = 335211314712161
BaseRepresentation
bin111101010000110011…
…1001110101000110001
3110120120200011111222000
41322201213032220301
54123413432343400
6140234340404213
712335122145163
oct1724147165061
9416520144860
10131560434225
11508814874a0
12215b73a6669
13c5382665ac
146520820933
15364ed49600
hex1ea19cea31

131560434225 has 192 divisors, whose sum is σ = 277970780160. Its totient is φ = 60410880000.

The previous prime is 131560434223. The next prime is 131560434227. The reversal of 131560434225 is 522434065131.

131560434225 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 604 + 3 + 42 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (131560434223) and next prime (131560434227).

It is not a de Polignac number, because 131560434225 - 21 = 131560434223 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131560434225.

It is not an unprimeable number, because it can be changed into a prime (131560434221) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10812145 + ... + 10824305.

It is an arithmetic number, because the mean of its divisors is an integer number (1447764480).

Almost surely, 2131560434225 is an apocalyptic number.

131560434225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131560434225 is an abundant number, since it is smaller than the sum of its proper divisors (146410345935).

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

131560434225 is a wasteful number, since it uses less digits than its factorization.

131560434225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131560434225 its reverse (522434065131), we get a palindrome (653994499356).

The spelling of 131560434225 in words is "one hundred thirty-one billion, five hundred sixty million, four hundred thirty-four thousand, two hundred twenty-five".