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21122022112 = 253121292361
BaseRepresentation
bin10011101010111110…
…000111101011100000
32000112000210220020021
4103222332013223200
5321224214201422
613411530123224
71345265140252
oct235276075340
960460726207
1021122022112
118a59915924
124115880514
131cb7c99249
141045317cd2
15839501dc7
hex4eaf87ae0

21122022112 has 24 divisors (see below), whose sum is σ = 42925401792. Its totient is φ = 10220332800.

The previous prime is 21122022109. The next prime is 21122022121.

It is a happy number.

21122022112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211220221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10645189 + ... + 10647172.

It is an arithmetic number, because the mean of its divisors is an integer number (1788558408).

Almost surely, 221122022112 is an apocalyptic number.

It is an amenable number.

21122022112 is an abundant number, since it is smaller than the sum of its proper divisors (21803379680).

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

21122022112 is a wasteful number, since it uses less digits than its factorization.

21122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292402 (or 21292394 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 211220 and 22112, that added together give a palindrome (233332).

The spelling of 21122022112 in words is "twenty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 21292361 42584722 85169444 170338888 340677776 660063191 681355552 1320126382 2640252764 5280505528 10561011056 21122022112