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5316406101 = 32311972491
BaseRepresentation
bin1001111001110000…
…11110101101010101
3111201111202102010200
410330320132231111
541341444443401
62235313011113
7245513464146
oct47470365525
914644672120
105316406101
112288a77656
121044553a99
13669582036
14386105acd
15211b06686
hex13ce1eb55

5316406101 has 36 divisors (see below), whose sum is σ = 7983640704. Its totient is φ = 3405578400.

The previous prime is 5316406091. The next prime is 5316406127. The reversal of 5316406101 is 1016046135.

5316406101 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 40 + 610 + 1 = 666.

It is not a de Polignac number, because 5316406101 - 226 = 5249297237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5316406181) 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 35 ways as a sum of consecutive naturals, for example, 10827466 + ... + 10827956.

Almost surely, 25316406101 is an apocalyptic number.

It is an amenable number.

5316406101 is a deficient number, since it is larger than the sum of its proper divisors (2667234603).

5316406101 is a wasteful number, since it uses less digits than its factorization.

5316406101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5316406101 is about 72913.6893936934. The cubic root of 5316406101 is about 1745.3105580495.

The spelling of 5316406101 in words is "five billion, three hundred sixteen million, four hundred six thousand, one hundred one".

Divisors: 1 3 9 31 93 197 279 491 591 1473 1773 4419 6107 15221 18321 38809 45663 54963 96727 116427 136989 290181 349281 870543 1203079 2998537 3609237 8995611 10827711 19055219 26986833 57165657 171496971 590711789 1772135367 5316406101