Search a number
-
+
15312014131 = 531632836263
BaseRepresentation
bin11100100001010101…
…01100101100110011
31110112010020220121111
432100222230230303
5222324333423011
611011221334151
71051305654421
oct162052545463
943463226544
1015312014131
116548261937
122b73b67357
1315a03923bb
14a53844111
155e93e8121
hex390aacb33

15312014131 has 16 divisors (see below), whose sum is σ = 15754611456. Its totient is φ = 14875806816.

The previous prime is 15312014111. The next prime is 15312014143. The reversal of 15312014131 is 13141021351.

It is a happy number.

15312014131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 15312014131 - 25 = 15312014099 is a prime.

It is a super-2 number, since 2×153120141312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15312014111) 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, 2441706 + ... + 2447968.

It is an arithmetic number, because the mean of its divisors is an integer number (984663216).

Almost surely, 215312014131 is an apocalyptic number.

15312014131 is a deficient number, since it is larger than the sum of its proper divisors (442597325).

15312014131 is a wasteful number, since it uses less digits than its factorization.

15312014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 15312014131 its reverse (13141021351), we get a palindrome (28453035482).

The spelling of 15312014131 in words is "fifteen billion, three hundred twelve million, fourteen thousand, one hundred thirty-one".

Divisors: 1 53 163 283 6263 8639 14999 46129 331939 1020869 1772429 2444837 54106057 93938737 288905927 15312014131