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114973379411 = 11229431105899
BaseRepresentation
bin110101100010011110…
…0101000101101010011
3101222202200200211100112
41223010330220231103
53340431141120121
6124452410311535
711210101412612
oct1530474505523
9358680624315
10114973379411
114483a525730
121a3484285ab
13aac3997a67
1457c9915879
152ecda4175b
hex1ac4f28b53

114973379411 has 16 divisors (see below), whose sum is σ = 126266688000. Its totient is φ = 103822399200.

The previous prime is 114973379399. The next prime is 114973379413.

114973379411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 114973379411 - 218 = 114973117267 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114973379411.

It is not an unprimeable number, because it can be changed into a prime (114973379413) 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, 1032740 + ... + 1138638.

It is an arithmetic number, because the mean of its divisors is an integer number (7891668000).

Almost surely, 2114973379411 is an apocalyptic number.

114973379411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114973379411 is a deficient number, since it is larger than the sum of its proper divisors (11293308589).

114973379411 is a wasteful number, since it uses less digits than its factorization.

114973379411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106570.

The product of its digits is 571536, while the sum is 50.

The spelling of 114973379411 in words is "one hundred fourteen billion, nine hundred seventy-three million, three hundred seventy-nine thousand, four hundred eleven".

Divisors: 1 11 229 431 2519 4741 98699 105899 1085689 1164889 24250871 45642469 266759581 502067159 10452125401 114973379411