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23122120001300 = 2252231221200013
BaseRepresentation
bin1010100000111100010011…
…01111111100011100010100
310000212110020022001121122222
411100132021233330130110
511012313100210020200
6121102053313041512
74604342455121135
oct520361157743424
9100773208047588
1023122120001300
117405043a48221
12271527b256298
13cb953929ca28
1459d18bc71c8c
152a16d5748d85
hex150789bfc714

23122120001300 has 18 divisors (see below), whose sum is σ = 50175000403038. Its totient is φ = 9248848000480.

The previous prime is 23122120001273. The next prime is 23122120001311. The reversal of 23122120001300 is 310002122132.

It can be written as a sum of positive squares in 3 ways, for example, as 7036148825476 + 16085971175824 = 2652574^2 + 4010732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115610599907 + ... + 115610600106.

It is an arithmetic number, because the mean of its divisors is an integer number (2787500022391).

Almost surely, 223122120001300 is an apocalyptic number.

23122120001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122120001300 is an abundant number, since it is smaller than the sum of its proper divisors (27052880401738).

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

23122120001300 is a wasteful number, since it uses less digits than its factorization.

23122120001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231221200027 (or 231221200020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23122120001300 its reverse (310002122132), we get a palindrome (23432122123432).

The spelling of 23122120001300 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred twenty million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 231221200013 462442400026 924884800052 1156106000065 2312212000130 4624424000260 5780530000325 11561060000650 23122120001300