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22022120010112 = 27472531469527
BaseRepresentation
bin1010000000111011011001…
…01000111111000110000000
32212222021221102000022000121
411000131230220333012000
510341302300210310422
6114500453335430024
74432021443351235
oct500355450770600
985867842008017
1022022120010112
11702058a6a2912
12257804b525314
13c398a54c8791
14561c3a7ab78c
15282ca4c9a8c7
hex14076ca3f180

22022120010112 has 96 divisors (see below), whose sum is σ = 45671299063920. Its totient is φ = 10573439425536.

The previous prime is 22022120010109. The next prime is 22022120010127. The reversal of 22022120010112 is 21101002122022.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 14251093 + ... + 15720619.

Almost surely, 222022120010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835649531960).

22022120010112 is an abundant number, since it is smaller than the sum of its proper divisors (23649179053808).

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

22022120010112 is an equidigital number, since it uses as much as digits as its factorization.

22022120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469688 (or 1469629 counting only the distinct ones).

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

Adding to 22022120010112 its reverse (21101002122022), we get a palindrome (43123122132134).

The spelling of 22022120010112 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 376 424 752 848 1504 1696 2209 2491 3008 3392 4418 4982 6016 6784 8836 9964 17672 19928 35344 39856 70688 79712 117077 141376 159424 234154 282752 318848 468308 936616 1469527 1873232 2939054 3746464 5878108 7492928 11756216 14985856 23512432 47024864 69067769 77884931 94049728 138135538 155769862 188099456 276271076 311539724 552542152 623079448 1105084304 1246158896 2210168608 2492317792 3246185143 3660591757 4420337216 4984635584 6492370286 7321183514 8840674432 9969271168 12984740572 14642367028 25969481144 29284734056 51938962288 58569468112 103877924576 117138936224 172047812579 207755849152 234277872448 344095625158 415511698304 468555744896 688191250316 1376382500632 2752765001264 5505530002528 11011060005056 22022120010112