Search a number
-
+
13997153401 = 711237903531
BaseRepresentation
bin11010000100100101…
…11001110001111001
31100010111010001202221
431002102321301321
5212131232402101
610232531324041
71003601561260
oct150222716171
940114101687
1013997153401
115a33034580
122867750621
131420b532ba
1496ad755d7
1556dc6eaa1
hex3424b9c79

13997153401 has 16 divisors (see below), whose sum is σ = 18209737728. Its totient is φ = 10432659600.

The previous prime is 13997153393. The next prime is 13997153413. The reversal of 13997153401 is 10435179931.

13997153401 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 13997153401 - 23 = 13997153393 is a prime.

It is a super-2 number, since 2×139971534012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13997153431) 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 15 ways as a sum of consecutive naturals, for example, 3949995 + ... + 3953536.

It is an arithmetic number, because the mean of its divisors is an integer number (1138108608).

Almost surely, 213997153401 is an apocalyptic number.

13997153401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13997153401 is a deficient number, since it is larger than the sum of its proper divisors (4212584327).

13997153401 is a wasteful number, since it uses less digits than its factorization.

13997153401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903572.

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 13997153401 in words is "thirteen billion, nine hundred ninety-seven million, one hundred fifty-three thousand, four hundred one".

Divisors: 1 7 11 23 77 161 253 1771 7903531 55324717 86938841 181781213 608571887 1272468491 1999593343 13997153401