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223021323301131 = 3337223244567869
BaseRepresentation
bin110010101101011000110010…
…110000001011000100001011
31002020122122000110220202211000
4302231120302300023010023
5213212440132231114011
62110154325335310043
764655521203556305
oct6255306260130413
91066578013822730
10223021323301131
11650748a2938883
122101b039b1b323
139759a88983254
143d1040aac8975
151abb46a679356
hexcad632c0b10b

223021323301131 has 16 divisors (see below), whose sum is σ = 339331743162400. Its totient is φ = 144662479978464.

The previous prime is 223021323301081. The next prime is 223021323301157. The reversal of 223021323301131 is 131103323120322.

223021323301131 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 1 + 323 + 301 + 1 + 31 = 666.

It is not a de Polignac number, because 223021323301131 - 27 = 223021323301003 is a prime.

It is a super-2 number, since 2×2230213233011312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223021323301095 and 223021323301104.

It is not an unprimeable number, because it can be changed into a prime (223021323301331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111622282936 + ... + 111622284933.

It is an arithmetic number, because the mean of its divisors is an integer number (21208233947650).

Almost surely, 2223021323301131 is an apocalyptic number.

223021323301131 is a deficient number, since it is larger than the sum of its proper divisors (116310419861269).

223021323301131 is a wasteful number, since it uses less digits than its factorization.

223021323301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223244567915 (or 223244567909 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223021323301131 its reverse (131103323120322), we get a palindrome (354124646421453).

The spelling of 223021323301131 in words is "two hundred twenty-three trillion, twenty-one billion, three hundred twenty-three million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 223244567869 669733703607 2009201110821 6027603332463 8260049011153 24780147033459 74340441100377 223021323301131