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13124334012 = 2232815138851
BaseRepresentation
bin11000011100100010…
…10111000110111100
31020212122202020122220
430032101113012330
5203334312142022
610010152005340
7643142666316
oct141621270674
936778666586
1013124334012
115625387439
122663390850
13131208551a
148c70927b6
1551c31185c
hex30e4571bc

13124334012 has 24 divisors (see below), whose sum is σ = 30625322112. Its totient is φ = 4374510000.

The previous prime is 13124334011. The next prime is 13124334019. The reversal of 13124334012 is 21043342131.

It is a happy number.

13124334012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131243340122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124334011) 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 7 ways as a sum of consecutive naturals, for example, 318387 + ... + 357237.

It is an arithmetic number, because the mean of its divisors is an integer number (1276055088).

Almost surely, 213124334012 is an apocalyptic number.

13124334012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13124334012 is an abundant number, since it is smaller than the sum of its proper divisors (17500988100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13124334012 is a wasteful number, since it uses less digits than its factorization.

13124334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67009 (or 67007 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13124334012 its reverse (21043342131), we get a palindrome (34167676143).

The spelling of 13124334012 in words is "thirteen billion, one hundred twenty-four million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 28151 38851 56302 77702 84453 112604 116553 155404 168906 233106 337812 466212 1093694501 2187389002 3281083503 4374778004 6562167006 13124334012