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56205301331 = 2929319873329
BaseRepresentation
bin110100010110000110…
…001101011001010011
312101002001012010210002
4310112012031121103
51410102024120311
641453110400215
74026551115164
oct642606153123
9171061163702
1056205301331
1121922477863
12aa8706006b
1353b952aa6a
142a1290176b
1516de53293b
hexd1618d653

56205301331 has 16 divisors (see below), whose sum is σ = 58388752800. Its totient is φ = 54038519808.

The previous prime is 56205301309. The next prime is 56205301343. The reversal of 56205301331 is 13310350265.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56205301331 is a prime.

It is a super-3 number, since 3×562053013313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56205301294 and 56205301303.

It is not an unprimeable number, because it can be changed into a prime (56205301351) 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 15 ways as a sum of consecutive naturals, for example, 16881875 + ... + 16885203.

It is an arithmetic number, because the mean of its divisors is an integer number (3649297050).

Almost surely, 256205301331 is an apocalyptic number.

56205301331 is a deficient number, since it is larger than the sum of its proper divisors (2183451469).

56205301331 is a wasteful number, since it uses less digits than its factorization.

56205301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 56205301331 its reverse (13310350265), we get a palindrome (69515651596).

The spelling of 56205301331 in words is "fifty-six billion, two hundred five million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 29 293 1987 3329 8497 57623 96541 582191 975397 6614723 16883539 28286513 191826967 1938113839 56205301331