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23122213121331 = 35293281142773
BaseRepresentation
bin1010100000111100011110…
…10011001010110100110011
310000212110110210021121100000
411100132033103022310303
511012313243024340311
6121102110441001043
74604344665460122
oct520361723126463
9100773423247300
1023122213121331
11740509156a725
1227152a6483183
13cb9552674b3c
1459d19a391ab9
152a16dd9e0056
hex15078f4cad33

23122213121331 has 24 divisors (see below), whose sum is σ = 35830079092080. Its totient is φ = 14883263613792.

The previous prime is 23122213121317. The next prime is 23122213121339. The reversal of 23122213121331 is 13312131222132.

23122213121331 is a `hidden beast` number, since 2 + 3 + 12 + 2 + 2 + 1 + 312 + 1 + 331 = 666.

It is not a de Polignac number, because 23122213121331 - 25 = 23122213121299 is a prime.

It is a super-2 number, since 2×231222131213312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23122213121295 and 23122213121304.

It is not an unprimeable number, because it can be changed into a prime (23122213121339) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1640564340 + ... + 1640578433.

It is an arithmetic number, because the mean of its divisors is an integer number (1492919962170).

Almost surely, 223122213121331 is an apocalyptic number.

23122213121331 is a deficient number, since it is larger than the sum of its proper divisors (12707865970749).

23122213121331 is an equidigital number, since it uses as much as digits as its factorization.

23122213121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281142817 (or 3281142805 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 23122213121331 its reverse (13312131222132), we get a palindrome (36434344343463).

The spelling of 23122213121331 in words is "twenty-three trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 3281142773 9843428319 29530284957 88590854871 95153140417 265772564613 285459421251 797317693839 856378263753 2569134791259 7707404373777 23122213121331