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83131331355 = 32517201154037
BaseRepresentation
bin100110101101100000…
…0110111001100011011
321221120120021012002100
41031123000313030123
52330223110100410
6102105012534443
76002033441352
oct1153300671433
9257516235070
1083131331355
113228a518736
1214140621423
137abaaacac7
1440489aa999
1522683558c0
hex135b03731b

83131331355 has 48 divisors (see below), whose sum is σ = 152649136224. Its totient is φ = 41707146240.

The previous prime is 83131331341. The next prime is 83131331359. The reversal of 83131331355 is 55313313138.

83131331355 is a `hidden beast` number, since 8 + 313 + 1 + 331 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 83131331355 - 28 = 83131331099 is a prime.

It is a super-2 number, since 2×831313313552 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83131331359) 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 47 ways as a sum of consecutive naturals, for example, 1511397 + ... + 1565433.

It is an arithmetic number, because the mean of its divisors is an integer number (3180190338).

Almost surely, 283131331355 is an apocalyptic number.

83131331355 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83131331355 is a deficient number, since it is larger than the sum of its proper divisors (69517804869).

83131331355 is a wasteful number, since it uses less digits than its factorization.

83131331355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56076 (or 56073 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 83131331355 in words is "eighty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 2011 6033 10055 18099 30165 34187 54037 90495 102561 162111 170935 270185 307683 486333 512805 810555 918629 1538415 2431665 2755887 4593145 8267661 13779435 41338305 108668407 326005221 543342035 978015663 1630026105 1847362919 4890078315 5542088757 9236814595 16626266271 27710443785 83131331355