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131023325205 = 32513124239173
BaseRepresentation
bin111101000000110011…
…0010100100000010101
3110112012020111112220100
41322001212110200111
54121313432401310
6140105152324313
712315610613523
oct1720146244025
9415166445810
10131023325205
1150626284543
1221487543699
13c480bba7c6
1464ad369313
15361cb00ec0
hex1e81994815

131023325205 has 48 divisors (see below), whose sum is σ = 228960141696. Its totient is φ = 69309502080.

The previous prime is 131023325171. The next prime is 131023325227. The reversal of 131023325205 is 502523320131.

It is a happy number.

131023325205 is a `hidden beast` number, since 1 + 3 + 102 + 3 + 32 + 520 + 5 = 666.

It is not a de Polignac number, because 131023325205 - 214 = 131023308821 is a prime.

It is a super-2 number, since 2×1310233252052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14278999 + ... + 14288171.

It is an arithmetic number, because the mean of its divisors is an integer number (4770002952).

Almost surely, 2131023325205 is an apocalyptic number.

131023325205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131023325205 is a deficient number, since it is larger than the sum of its proper divisors (97936816491).

131023325205 is a wasteful number, since it uses less digits than its factorization.

131023325205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11738 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 131023325205 its reverse (502523320131), we get a palindrome (633546645336).

The spelling of 131023325205 in words is "one hundred thirty-one billion, twenty-three million, three hundred twenty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 2423 5895 7269 9173 12115 21807 27519 36345 45865 82557 109035 137595 317413 412785 952239 1201663 1587065 2856717 3604989 4761195 6008315 10814967 14283585 18024945 22226179 54074835 66678537 111130895 200035611 333392685 1000178055 2911629449 8734888347 14558147245 26204665041 43674441735 131023325205