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121133411311 = 111723431036359
BaseRepresentation
bin111000011010000011…
…1010010101111101111
3102120122222212212112011
41300310013102233233
53441040123130221
6131351541222051
711515541002363
oct1606407225757
9376588785464
10121133411311
114741071a890
121b587401927
13b565c65953
145c11aa12a3
15323e73b1e1
hex1c341d2bef

121133411311 has 64 divisors (see below), whose sum is σ = 150871818240. Its totient is φ = 95876605440.

The previous prime is 121133411309. The next prime is 121133411351. The reversal of 121133411311 is 113114331121.

It is not a de Polignac number, because 121133411311 - 21 = 121133411309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121133411351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19045950 + ... + 19052308.

It is an arithmetic number, because the mean of its divisors is an integer number (2357372160).

Almost surely, 2121133411311 is an apocalyptic number.

121133411311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121133411311 is a deficient number, since it is larger than the sum of its proper divisors (29738406929).

121133411311 is a wasteful number, since it uses less digits than its factorization.

121133411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556.

The product of its digits is 216, while the sum is 22.

Adding to 121133411311 its reverse (113114331121), we get a palindrome (234247742432).

The spelling of 121133411311 in words is "one hundred twenty-one billion, one hundred thirty-three million, four hundred eleven thousand, three hundred eleven".

Divisors: 1 11 17 23 43 103 187 253 391 473 731 989 1133 1751 2369 4301 4429 6359 8041 10879 16813 19261 26059 40273 48719 69949 75293 101867 108103 146257 184943 273437 443003 654977 828223 1120537 1189133 1608827 1731739 2486369 3007807 4648429 6289051 7204747 11134609 15064471 19049129 27350059 28164011 51132719 69179561 106913867 122480699 165709181 256096007 309804121 478788187 647772253 1176052537 2817056077 5266670057 7125494783 11012128301 121133411311