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13012331444 = 2271572960039
BaseRepresentation
bin11000001111001100…
…00110101110110100
31020120211222221000122
430013212012232310
5203122124101234
65551111231112
7640312664240
oct140746065664
936524887018
1013012331444
115578138232
122631978498
1312c4acb808
148b6259420
1551258a92e
hex307986bb4

13012331444 has 24 divisors (see below), whose sum is σ = 26190433920. Its totient is φ = 5541191136.

The previous prime is 13012331441. The next prime is 13012331467. The reversal of 13012331444 is 44413321031.

It is a happy number.

13012331444 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 2×130123314442 (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 (13012331441) 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, 1475624 + ... + 1484415.

It is an arithmetic number, because the mean of its divisors is an integer number (1091268080).

Almost surely, 213012331444 is an apocalyptic number.

13012331444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13012331444 is an abundant number, since it is smaller than the sum of its proper divisors (13178102476).

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

13012331444 is a wasteful number, since it uses less digits than its factorization.

13012331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960207 (or 2960205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13012331444 its reverse (44413321031), we get a palindrome (57425652475).

The spelling of 13012331444 in words is "thirteen billion, twelve million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 157 314 628 1099 2198 4396 2960039 5920078 11840156 20720273 41440546 82881092 464726123 929452246 1858904492 3253082861 6506165722 13012331444