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22112132021544 = 2334379271399971
BaseRepresentation
bin1010000011100011000011…
…10001100011110100101000
32220021220021111111020201210
411001301201301203310220
510344241121244142134
6115010101225313120
74441356150002445
oct501614161436450
986256244436653
1022112132021544
117055780078304
1225915903357a0
13c4521b964cc6
145663391149cc
152852c21eb2e9
hex141c61c63d28

22112132021544 has 128 divisors (see below), whose sum is σ = 57303630489600. Its totient is φ = 7105477317120.

The previous prime is 22112132021543. The next prime is 22112132021549. The reversal of 22112132021544 is 44512023121122.

It is not an unprimeable number, because it can be changed into a prime (22112132021543) 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 31 ways as a sum of consecutive naturals, for example, 221135479 + ... + 221235449.

It is an arithmetic number, because the mean of its divisors is an integer number (447684613200).

Almost surely, 222112132021544 is an apocalyptic number.

22112132021544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112132021544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651815244800).

22112132021544 is an abundant number, since it is smaller than the sum of its proper divisors (35191498468056).

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

22112132021544 is a wasteful number, since it uses less digits than its factorization.

22112132021544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102815 (or 102811 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 22112132021544 its reverse (44512023121122), we get a palindrome (66624155142666).

The spelling of 22112132021544 in words is "twenty-two trillion, one hundred twelve billion, one hundred thirty-two million, twenty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 129 158 172 237 258 316 344 474 516 632 948 1032 1896 2713 3397 5426 6794 8139 10191 10852 13588 16278 20382 21704 27176 32556 40764 65112 81528 99971 116659 199942 214327 233318 299913 349977 399884 428654 466636 599826 642981 699954 799768 857308 933272 1199652 1285962 1399908 1714616 2399304 2571924 2799816 4298753 5143848 7897709 8597506 9216061 12896259 15795418 17195012 18432122 23693127 25792518 27648183 31590836 34390024 36864244 47386254 51585036 55296366 63181672 73728488 94772508 103170072 110592732 189545016 221185464 271221323 339601487 542442646 679202974 813663969 1018804461 1084885292 1358405948 1627327938 2037608922 2169770584 2716811896 3254655876 4075217844 6509311752 8150435688 11662516889 21426484517 23325033778 34987550667 42852969034 46650067556 64279453551 69975101334 85705938068 93300135112 128558907102 139950202668 171411876136 257117814204 279900405336 514235628408 921338834231 1842677668462 2764016502693 3685355336924 5528033005386 7370710673848 11056066010772 22112132021544