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22312422421322 = 21152119311008101
BaseRepresentation
bin1010001001011000001000…
…00000110011001101001010
32221000001021002012202211112
411010230010000303031022
510411031320114440242
6115242104011530322
74462006425213155
oct504540400631512
987001232182745
1022312422421322
117122710856120
1226043691599a2
13c5b08b1a0367
14571cd99cac9c
1528a5e5dd4c82
hex144b0403334a

22312422421322 has 32 divisors (see below), whose sum is σ = 36600296378688. Its totient is φ = 10117291600000.

The previous prime is 22312422421309. The next prime is 22312422421339.

22312422421322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223124224213223 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21629072 + ... + 22637172.

It is an arithmetic number, because the mean of its divisors is an integer number (1143759261834).

Almost surely, 222312422421322 is an apocalyptic number.

22312422421322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22312422421322 is a deficient number, since it is larger than the sum of its proper divisors (14287873957366).

22312422421322 is a wasteful number, since it uses less digits than its factorization.

22312422421322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010566.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 2231242 and 2421322, that added together give a palindrome (4652564).

The spelling of 22312422421322 in words is "twenty-two trillion, three hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 11 22 521 1042 1931 3862 5731 11462 21241 42482 1006051 1008101 2012102 2016202 11066561 11089111 22133122 22178222 525220621 1050441242 1946643031 3893286062 5777426831 11554853662 21413073341 42826146682 1014201019151 2028402038302 11156211210661 22312422421322