Search a number
-
+
123110202011202 = 23372503130119203
BaseRepresentation
bin11011111111011111010011…
…110110111110111001000010
3121010220012221122120112001000
4123333133103312332321002
5112114014143203324302
61113500013535552430
734634263400113530
oct3377372366767102
9533805848515030
10123110202011202
113625481a616aaa
12119836b968b716
13539031c266313
1422587cbcd3150
15e375a3a9731c
hex6ff7d3dbee42

123110202011202 has 64 divisors (see below), whose sum is σ = 312785747343360. Its totient is φ = 35160290287632.

The previous prime is 123110202011191. The next prime is 123110202011311. The reversal of 123110202011202 is 202110202011321.

123110202011202 is a `hidden beast` number, since 1 + 231 + 10 + 20 + 201 + 1 + 202 = 666.

123110202011202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1231102020112022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64113468 + ... + 66005735.

It is an arithmetic number, because the mean of its divisors is an integer number (4887277302240).

Almost surely, 2123110202011202 is an apocalyptic number.

123110202011202 is an abundant number, since it is smaller than the sum of its proper divisors (189675545332158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123110202011202 is a wasteful number, since it uses less digits than its factorization.

123110202011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130121724 (or 130121718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123110202011202 its reverse (202110202011321), we get a palindrome (325220404022523).

The spelling of 123110202011202 in words is "one hundred twenty-three trillion, one hundred ten billion, two hundred two million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2503 5006 7509 15018 17521 22527 35042 45054 52563 67581 105126 135162 157689 315378 473067 946134 130119203 260238406 390357609 780715218 910834421 1171072827 1821668842 2342145654 2732503263 3513218481 5465006526 7026436962 8197509789 16395019578 24592529367 49185058734 325688365109 651376730218 977065095327 1954130190654 2279818555763 2931195285981 4559637111526 5862390571962 6839455667289 8793585857943 13678911334578 17587171715886 20518367001867 41036734003734 61555101005601 123110202011202