Search a number
-
+
223133012101012 = 221337115973499013
BaseRepresentation
bin110010101111000000110011…
…111011001000011110010100
31002021001022022021002200002211
4302233000303323020132110
5213221302402044213022
62110321520214043204
764666554022653466
oct6257006373103624
91067038267080084
10223133012101012
11651081a72a1272
122103880a349504
139767478007810
143d159a42ba136
151abe305b61e77
hexcaf033ec8794

223133012101012 has 24 divisors (see below), whose sum is σ = 431885310328136. Its totient is φ = 100201103146368.

The previous prime is 223133012100959. The next prime is 223133012101039. The reversal of 223133012101012 is 210101210331322.

223133012101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40120113393936 + 183012898707076 = 6334044^2 + 13528226^2 .

It is a super-3 number, since 3×2231330121010123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57986747583 + ... + 57986751430.

Almost surely, 2223133012101012 is an apocalyptic number.

It is an amenable number.

223133012101012 is a deficient number, since it is larger than the sum of its proper divisors (208752298227124).

223133012101012 is a wasteful number, since it uses less digits than its factorization.

223133012101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115973499067 (or 115973499065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 223133012101012 its reverse (210101210331322), we get a palindrome (433234222432334).

The spelling of 223133012101012 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 115973499013 231946998026 463893996052 1507655487169 3015310974338 4291019463481 6030621948676 8582038926962 17164077853924 55783253025253 111566506050506 223133012101012