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110121233013 = 321117292256259
BaseRepresentation
bin110011010001110111…
…1001010101001110101
3101112020112112020210200
41212203233022221311
53301012013424023
6122331120111113
710645623015321
oct1464357125165
9345215466720
10110121233013
114277a624290
1219413465499
13a4cc66610c
145489340981
152ce7a93743
hex19a3bcaa75

110121233013 has 48 divisors (see below), whose sum is σ = 190067342400. Its totient is φ = 60648215040.

The previous prime is 110121233003. The next prime is 110121233051. The reversal of 110121233013 is 310332121011.

110121233013 is a `hidden beast` number, since 110 + 1 + 212 + 330 + 13 = 666.

It is not a de Polignac number, because 110121233013 - 210 = 110121231989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121233003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079323 + ... + 1176936.

It is an arithmetic number, because the mean of its divisors is an integer number (3959736300).

Almost surely, 2110121233013 is an apocalyptic number.

It is an amenable number.

110121233013 is a deficient number, since it is larger than the sum of its proper divisors (79946109387).

110121233013 is a wasteful number, since it uses less digits than its factorization.

110121233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256322 (or 2256319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110121233013 its reverse (310332121011), we get a palindrome (420453354024).

It can be divided in two parts, 1101212 and 33013, that added together give a square (1134225 = 10652).

The spelling of 110121233013 in words is "one hundred ten billion, one hundred twenty-one million, two hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 493 561 957 1479 1683 2871 4437 5423 16269 48807 2256259 6768777 20306331 24818849 38356403 65431511 74456547 115069209 196294533 223369641 345207627 421920433 588883599 719746621 1112335687 1265761299 2159239863 3337007061 3797283897 6477719589 10011021183 12235692557 36707077671 110121233013