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131355656319 = 3409910681927
BaseRepresentation
bin111101001010101101…
…0000100000001111111
3110120001101211201111010
41322111122010001333
54123004022000234
6140202143330303
712330054441066
oct1722532040177
9416041751433
10131355656319
1150786930858
122155a8b0993
13c5049c8634
1465015571dd
15363bd996e9
hex1e9568407f

131355656319 has 8 divisors (see below), whose sum is σ = 175183619200. Its totient is φ = 87549065496.

The previous prime is 131355656303. The next prime is 131355656417. The reversal of 131355656319 is 913656553131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131355656319 - 24 = 131355656303 is a prime.

It is a super-2 number, since 2×1313556563192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131355656519) 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 7 ways as a sum of consecutive naturals, for example, 5328667 + ... + 5353260.

It is an arithmetic number, because the mean of its divisors is an integer number (21897952400).

Almost surely, 2131355656319 is an apocalyptic number.

131355656319 is a deficient number, since it is larger than the sum of its proper divisors (43827962881).

131355656319 is a wasteful number, since it uses less digits than its factorization.

131355656319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686029.

The product of its digits is 1093500, while the sum is 48.

The spelling of 131355656319 in words is "one hundred thirty-one billion, three hundred fifty-five million, six hundred fifty-six thousand, three hundred nineteen".

Divisors: 1 3 4099 12297 10681927 32045781 43785218773 131355656319