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20122231213331 = 1329166332095381
BaseRepresentation
bin1001001001101000100100…
…11100011000110100010011
32122020122222220001111102222
410210310102130120310103
510114140312142311311
6110444005253131255
74144532435134262
oct444642234306423
978218886044388
1020122231213331
116458876a30815
12230b9a6629b2b
13b2c69780aa80
144d7cc7a485d9
1524d65ab71adb
hex124d12718d13

20122231213331 has 16 divisors (see below), whose sum is σ = 22430820572160. Its totient is φ = 17923087244160.

The previous prime is 20122231213219. The next prime is 20122231213349. The reversal of 20122231213331 is 13331213222102.

It is a cyclic number.

It is not a de Polignac number, because 20122231213331 - 218 = 20122230951187 is a prime.

It is a super-2 number, since 2×201222312133312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20122231213331.

It is not an unprimeable number, because it can be changed into a prime (20122231213351) 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, 15420740 + ... + 16674641.

It is an arithmetic number, because the mean of its divisors is an integer number (1401926285760).

Almost surely, 220122231213331 is an apocalyptic number.

20122231213331 is a deficient number, since it is larger than the sum of its proper divisors (2308589358829).

20122231213331 is a wasteful number, since it uses less digits than its factorization.

20122231213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32097086.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 20122231213331 its reverse (13331213222102), we get a palindrome (33453444435433).

The spelling of 20122231213331 in words is "twenty trillion, one hundred twenty-two billion, two hundred thirty-one million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 13 29 377 1663 21619 48227 626951 32095381 417239953 930766049 12099958637 53374618603 693870041839 1547863939487 20122231213331