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13990211901 = 324735599293
BaseRepresentation
bin11010000011110000…
…11011000100111101
31100010000001101211100
431001320123010331
5212122443240101
610232122443313
71003455560541
oct150170330475
940100041740
1013990211901
115a2a1232a6
122865363539
13141c5928c3
1496a089a21
1556d34ce86
hex341e1b13d

13990211901 has 24 divisors (see below), whose sum is σ = 20646063360. Its totient is φ = 9124818336.

The previous prime is 13990211899. The next prime is 13990211903. The reversal of 13990211901 is 10911209931.

13990211901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13990211901 is a nontrivial binomial coefficient, being equal to C(167274, 2).

It is an interprime number because it is at equal distance from previous prime (13990211899) and next prime (13990211903).

It is not a de Polignac number, because 13990211901 - 21 = 13990211899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990211903) 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 23 ways as a sum of consecutive naturals, for example, 1500811 + ... + 1510103.

It is an arithmetic number, because the mean of its divisors is an integer number (860252640).

Almost surely, 213990211901 is an apocalyptic number.

13990211901 is the 167273-rd triangular number and also the 83637-th hexagonal number.

It is an amenable number.

13990211901 is a deficient number, since it is larger than the sum of its proper divisors (6655851459).

13990211901 is a wasteful number, since it uses less digits than its factorization.

13990211901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The spelling of 13990211901 in words is "thirteen billion, nine hundred ninety million, two hundred eleven thousand, nine hundred one".

Divisors: 1 3 9 47 141 423 3559 9293 10677 27879 32031 83637 167273 436771 501819 1310313 1505457 3930939 33073787 99221361 297664083 1554467989 4663403967 13990211901