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12301313031 = 3272323935521
BaseRepresentation
bin10110111010011011…
…10010010000000111
31011202022002110010100
423131031302100013
5200143114004111
65352351455143
7613560302250
oct133515622007
934668073110
1012301313031
115242852607
1224738274b3
131210702167
14849a53b27
154bee3d756
hex2dd372407

12301313031 has 48 divisors (see below), whose sum is σ = 21279098880. Its totient is φ = 6695377920.

The previous prime is 12301313027. The next prime is 12301313041. The reversal of 12301313031 is 13031310321.

It is a happy number.

12301313031 is a `hidden beast` number, since 1 + 230 + 131 + 303 + 1 = 666.

12301313031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12301313031 - 22 = 12301313027 is a prime.

It is a super-2 number, since 2×123013130312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301312995 and 12301313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301313041) 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 47 ways as a sum of consecutive naturals, for example, 328551 + ... + 364071.

It is an arithmetic number, because the mean of its divisors is an integer number (443314560).

Almost surely, 212301313031 is an apocalyptic number.

12301313031 is a deficient number, since it is larger than the sum of its proper divisors (8977785849).

12301313031 is a wasteful number, since it uses less digits than its factorization.

12301313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35796 (or 35793 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12301313031 its reverse (13031310321), we get a palindrome (25332623352).

The spelling of 12301313031 in words is "twelve billion, three hundred one million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 239 483 717 1449 1673 2151 5019 5497 15057 16491 35521 38479 49473 106563 115437 248647 319689 346311 745941 816983 2237823 2450949 5718881 7352847 8489519 17156643 25468557 51469929 59426633 76405671 178279899 195258937 534839697 585776811 1366812559 1757330433 4100437677 12301313031