Search a number
-
+
23203222122231 = 3231673613343559
BaseRepresentation
bin1010100011010011010111…
…10011111110111011110111
310001011012120110000020100200
411101221223303332323313
511020130144330402411
6121203225121011543
74613243321561244
oct521515363767367
9101135513006320
1023203222122231
117436481a88048
122728b34183bb3
13cc40928489b8
145a308313c5cb
152a388086be56
hex151a6bcfeef7

23203222122231 has 48 divisors (see below), whose sum is σ = 35123111761920. Its totient is φ = 14742266172480.

The previous prime is 23203222122217. The next prime is 23203222122257. The reversal of 23203222122231 is 13222122230232.

23203222122231 is a `hidden beast` number, since 2 + 3 + 203 + 2 + 221 + 2 + 2 + 231 = 666.

It is not a de Polignac number, because 23203222122231 - 218 = 23203221860087 is a prime.

It is a super-2 number, since 2×232032221222312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23203222122195 and 23203222122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203222122331) 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, 67366030 + ... + 67709588.

It is an arithmetic number, because the mean of its divisors is an integer number (731731495040).

Almost surely, 223203222122231 is an apocalyptic number.

23203222122231 is a deficient number, since it is larger than the sum of its proper divisors (11919889639689).

23203222122231 is a wasteful number, since it uses less digits than its factorization.

23203222122231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347276 (or 347273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23203222122231 its reverse (13222122230232), we get a palindrome (36425344352463).

The spelling of 23203222122231 in words is "twenty-three trillion, two hundred three billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 31 67 93 201 279 603 2077 3613 6231 10839 18693 32517 112003 242071 336009 343559 726213 1008027 1030677 2178639 3092031 7504201 10650329 22512603 23018453 31950987 67537809 69055359 95852961 207166077 713572043 1241278667 2140716129 3723836001 6422148387 11171508003 38479638677 83165670689 115438916031 249497012067 346316748093 748491036201 2578135791359 7734407374077 23203222122231