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13120124031 = 327208255937
BaseRepresentation
bin11000011100000010…
…10011010001111111
31020212100211100122200
430032001103101333
5203332222432111
610005521442543
7643062133320
oct141601232177
936770740580
1013120124031
115622a71413
122661aa0453
131311240201
148c66b8447
1551bc7e256
hex30e05347f

13120124031 has 12 divisors (see below), whose sum is σ = 21658617552. Its totient is φ = 7497213696.

The previous prime is 13120124023. The next prime is 13120124041. The reversal of 13120124031 is 13042102131.

13120124031 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 13120124031 - 23 = 13120124023 is a prime.

It is a super-2 number, since 2×131201240312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13120123995 and 13120124013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120124011) 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 11 ways as a sum of consecutive naturals, for example, 104127906 + ... + 104128031.

It is an arithmetic number, because the mean of its divisors is an integer number (1804884796).

Almost surely, 213120124031 is an apocalyptic number.

13120124031 is a deficient number, since it is larger than the sum of its proper divisors (8538493521).

13120124031 is a wasteful number, since it uses less digits than its factorization.

13120124031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208255950 (or 208255947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13120124031 its reverse (13042102131), we get a palindrome (26162226162).

The spelling of 13120124031 in words is "thirteen billion, one hundred twenty million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 63 208255937 624767811 1457791559 1874303433 4373374677 13120124031