Search a number
-
+
13405422122111 = 313797131919759
BaseRepresentation
bin1100001100010011000101…
…1011000111010001111111
31202110112201220202020111202
43003010301123013101333
53224113301030401421
644302211011410115
72552336566646525
oct303046133072177
952415656666452
1013405422122111
1142a9231344748
1216060888b393b
13763183740c26
14344b7c36c315
15183a8c0ba10b
hexc31316c747f

13405422122111 has 32 divisors (see below), whose sum is σ = 14467986677760. Its totient is φ = 12396866227200.

The previous prime is 13405422122051. The next prime is 13405422122149. The reversal of 13405422122111 is 11122122450431.

It is a cyclic number.

It is not a de Polignac number, because 13405422122111 - 210 = 13405422121087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405422122711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14115050 + ... + 15034808.

It is an arithmetic number, because the mean of its divisors is an integer number (452124583680).

Almost surely, 213405422122111 is an apocalyptic number.

13405422122111 is a deficient number, since it is larger than the sum of its proper divisors (1062564555649).

13405422122111 is a wasteful number, since it uses less digits than its factorization.

13405422122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920055.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 13405422122111 its reverse (11122122450431), we get a palindrome (24527544572542).

The spelling of 13405422122111 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 31 37 97 131 1147 3007 3589 4061 4847 12707 111259 150257 393917 470159 919759 14574929 28512529 34031083 89216623 120488429 1054963573 2765715313 3301015051 3735141299 4458071873 11687377613 102331466581 138200228063 362308706003 432432971681 13405422122111