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12000012013 = 1123753103491
BaseRepresentation
bin10110010110100000…
…11010011011101101
31010222022010202211101
423023100122123231
5144034000341023
65302425523101
7603241263523
oct131320323355
933868122741
1012000012013
1150a876a700
1223aa943491
13119316a132
1481ba22313
154a37741ad
hex2cb41a6ed

12000012013 has 48 divisors (see below), whose sum is σ = 13964565888. Its totient is φ = 10291881600.

The previous prime is 12000011861. The next prime is 12000012023. The reversal of 12000012013 is 31021000021.

It is not a de Polignac number, because 12000012013 - 221 = 11997914861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000012023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24439698 + ... + 24440188.

It is an arithmetic number, because the mean of its divisors is an integer number (290928456).

Almost surely, 212000012013 is an apocalyptic number.

It is an amenable number.

12000012013 is a deficient number, since it is larger than the sum of its proper divisors (1964553875).

12000012013 is a wasteful number, since it uses less digits than its factorization.

12000012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12000012013 its reverse (31021000021), we get a palindrome (43021012034).

The spelling of 12000012013 in words is "twelve billion, twelve thousand, thirteen".

Divisors: 1 11 37 53 103 121 407 491 583 1133 1961 3811 4477 5401 5459 6413 12463 18167 21571 26023 41921 50573 59411 60049 199837 201983 237281 286253 461131 556303 660539 962851 1871201 2198207 2221813 2680369 3148783 6119333 10591361 20583211 24439943 29484059 99173653 116504971 226415321 324324649 1090910183 12000012013