Search a number
-
+
991213310113 = 13418501218761
BaseRepresentation
bin11100110110010001110…
…10101101000010100001
310111202111100201022221021
432123020322231002201
5112220001101410423
62035205045125441
7131420122056235
oct16331072550241
93452440638837
10991213310113
1135240a088814
1214012b3b9881
1372617a82c60
1435d914ba5c5
151abb517295d
hexe6c8ead0a1

991213310113 has 16 divisors (see below), whose sum is σ = 1093629740112. Its totient is φ = 892540800000.

The previous prime is 991213310047. The next prime is 991213310141. The reversal of 991213310113 is 311013312199.

It can be written as a sum of positive squares in 8 ways, for example, as 357379187344 + 633834122769 = 597812^2 + 796137^2 .

It is a cyclic number.

It is not a de Polignac number, because 991213310113 - 225 = 991179755681 is a prime.

It is a super-2 number, since 2×9912133101132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (991213310183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4421653 + ... + 4640413.

It is an arithmetic number, because the mean of its divisors is an integer number (68351858757).

Almost surely, 2991213310113 is an apocalyptic number.

It is an amenable number.

991213310113 is a deficient number, since it is larger than the sum of its proper divisors (102416429999).

991213310113 is a wasteful number, since it uses less digits than its factorization.

991213310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227316.

The product of its (nonzero) digits is 4374, while the sum is 34.

The spelling of 991213310113 in words is "nine hundred ninety-one billion, two hundred thirteen million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 13 41 533 8501 110513 218761 348541 2843893 4531033 8969201 116599613 1859687261 24175934393 76247177701 991213310113