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12364849496131 = 112477329783981
BaseRepresentation
bin1011001111101110101001…
…1101100100000001000011
31121210001211121202212100121
42303323222131210001003
53110041202432334011
642144200005001111
72414221332401266
oct263735235440103
947701747685317
1012364849496131
113a379a320a400
1214784830b3197
136b900088cbc2
1430a667698cdd
15166988959e71
hexb3eea764043

12364849496131 has 24 divisors (see below), whose sum is σ = 14070429640512. Its totient is φ = 10850899593600.

The previous prime is 12364849496123. The next prime is 12364849496143. The reversal of 12364849496131 is 13169494846321.

12364849496131 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 12364849496131 - 23 = 12364849496123 is a prime.

It is a super-2 number, since 2×123648494961312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12364849496131.

It is not an unprimeable number, because it can be changed into a prime (12364849496191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14476840 + ... + 15307141.

It is an arithmetic number, because the mean of its divisors is an integer number (586267901688).

Almost surely, 212364849496131 is an apocalyptic number.

12364849496131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12364849496131 is a deficient number, since it is larger than the sum of its proper divisors (1705580144381).

12364849496131 is a wasteful number, since it uses less digits than its factorization.

12364849496131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29784123 (or 29784112 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 12364849496131 in words is "twelve trillion, three hundred sixty-four billion, eight hundred forty-nine million, four hundred ninety-six thousand, one hundred thirty-one".

Divisors: 1 11 47 73 121 517 803 3431 5687 8833 37741 415151 29783981 327623791 1399847107 2174230613 3603861701 15398318177 23916536743 102188838811 169381499947 263081904173 1124077226921 12364849496131