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22101000010122 = 23113071090761031
BaseRepresentation
bin1010000011001110010100…
…10000010011100110001010
32220020211112200122110212110
411001213022100103212022
510344100322000310442
6115001020443523150
74440513245320605
oct501471220234612
986224480573773
1022101000010122
117050a88374370
12258b3a42294b6
13c441665994b7
145659a08bd33c
15284d6ec8269c
hex1419ca41398a

22101000010122 has 32 divisors (see below), whose sum is σ = 48377433291264. Its totient is φ = 6675457503600.

The previous prime is 22101000010079. The next prime is 22101000010171.

22101000010122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22101000010098 and 22101000010107.

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, 545360254 + ... + 545400777.

It is an arithmetic number, because the mean of its divisors is an integer number (1511794790352).

Almost surely, 222101000010122 is an apocalyptic number.

22101000010122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22101000010122 is an abundant number, since it is smaller than the sum of its proper divisors (26276433281142).

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

22101000010122 is a wasteful number, since it uses less digits than its factorization.

22101000010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090761354.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 221010000 and 10122, that added together give a palindrome (221020122).

The spelling of 22101000010122 in words is "twenty-two trillion, one hundred one billion, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 307 614 921 1842 3377 6754 10131 20262 1090761031 2181522062 3272283093 6544566186 11998371341 23996742682 35995114023 71990228046 334863636517 669727273034 1004590909551 2009181819102 3683500001687 7367000003374 11050500005061 22101000010122