Search a number
-
+
111920121313 = 711132310148131
BaseRepresentation
bin110100000111011110…
…1011000010111100001
3101200212220110020122021
41220032331120113201
53313203022340223
6123225420341441
711041325222530
oct1501675302741
9350786406567
10111920121313
1143512a99730
12198359a4881
13a728257170
1455ba208317
152da097c65d
hex1a0ef585e1

111920121313 has 64 divisors (see below), whose sum is σ = 158359670784. Its totient is φ = 76237920000.

The previous prime is 111920121311. The next prime is 111920121323. The reversal of 111920121313 is 313121029111.

It is not a de Polignac number, because 111920121313 - 21 = 111920121311 is a prime.

It is a super-2 number, since 2×1119201213132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111920121311) 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 63 ways as a sum of consecutive naturals, for example, 2301258 + ... + 2349388.

It is an arithmetic number, because the mean of its divisors is an integer number (2474369856).

Almost surely, 2111920121313 is an apocalyptic number.

111920121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111920121313 is a deficient number, since it is larger than the sum of its proper divisors (46439549471).

111920121313 is a wasteful number, since it uses less digits than its factorization.

111920121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48286.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 111920121313 in words is "one hundred eleven billion, nine hundred twenty million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 11 13 23 77 91 101 143 161 253 299 707 1001 1111 1313 1771 2093 2323 3289 7777 9191 14443 16261 23023 25553 30199 48131 101101 178871 211393 332189 336917 529441 625703 1107013 2325323 3706087 4379921 4861231 6882733 7749091 12177143 14391169 34028617 48179131 53473541 63196003 85240001 100738183 111808313 158302859 374314787 442372021 695156033 782658191 1108120013 1229891443 1453508069 4866092231 8609240101 10174556483 15988588759 111920121313