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23122000231 = 11359294439
BaseRepresentation
bin10101100010001011…
…011011100101100111
32012200102010022102221
4111202023123211213
5334323213001411
614342212413211
71445661521251
oct254213334547
965612108387
1023122000231
119895848000
124593617207
132246436655
141194ba8cd1
15904dad071
hex5622db967

23122000231 has 16 divisors (see below), whose sum is σ = 25863609600. Its totient is φ = 20663658840.

The previous prime is 23122000219. The next prime is 23122000241. The reversal of 23122000231 is 13200022132.

It is not a de Polignac number, because 23122000231 - 213 = 23121992039 is a prime.

It is a super-3 number, since 3×231220002313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68691 + ... + 225748.

It is an arithmetic number, because the mean of its divisors is an integer number (1616475600).

Almost surely, 223122000231 is an apocalyptic number.

23122000231 is a deficient number, since it is larger than the sum of its proper divisors (2741609369).

23122000231 is an equidigital number, since it uses as much as digits as its factorization.

23122000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294531 (or 294509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23122000231 its reverse (13200022132), we get a palindrome (36322022363).

The spelling of 23122000231 in words is "twenty-three billion, one hundred twenty-two million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 59 121 649 1331 7139 78529 294439 3238829 17371901 35627119 191090911 391898309 2102000021 23122000231