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131022564673 = 71121311899243
BaseRepresentation
bin111101000000110001…
…1011010110101000001
3110112012012001220122111
41322001203122311001
54121313234032143
6140105124135321
712315601265320
oct1720143326501
9415165056574
10131022564673
1150625905100
1221487237541
13c4809b25a0
1464ad20c0b7
15361ca0099d
hex1e818dad41

131022564673 has 24 divisors (see below), whose sum is σ = 177251138624. Its totient is φ = 94241996640.

The previous prime is 131022564661. The next prime is 131022564677. The reversal of 131022564673 is 376465220131.

It is a happy number.

It is not a de Polignac number, because 131022564673 - 217 = 131022433601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131022564677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5938611 + ... + 5960632.

Almost surely, 2131022564673 is an apocalyptic number.

131022564673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131022564673 is a deficient number, since it is larger than the sum of its proper divisors (46228573951).

131022564673 is a wasteful number, since it uses less digits than its factorization.

131022564673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899285 (or 11899274 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 131022564673 in words is "one hundred thirty-one billion, twenty-two million, five hundred sixty-four thousand, six hundred seventy-three".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 11899243 83294701 130891673 154690159 916241711 1082831113 1439808403 1701591749 10078658821 11911142243 18717509239 131022564673