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221112031131024 = 243112232696981059
BaseRepresentation
bin110010010001100110101000…
…000100100011010110010000
31001222220002210121212010001020
4302101212220010203112100
5212440144414432143044
62102133244222035440
764400550154106625
oct6221465004432620
91058802717763036
10221112031131024
11644a90a4216170
1220970baba18b80
13964ba0ca92407
143c85c4514c34c
151a86970c45a19
hexc919a8123590

221112031131024 has 160 divisors (see below), whose sum is σ = 628255189094400. Its totient is φ = 66455204282880.

The previous prime is 221112031131011. The next prime is 221112031131083. The reversal of 221112031131024 is 420131130211122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 221112031130985 and 221112031131003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28182607 + ... + 35163665.

It is an arithmetic number, because the mean of its divisors is an integer number (3926594931840).

Almost surely, 2221112031131024 is an apocalyptic number.

221112031131024 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 221112031131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314127594547200).

221112031131024 is an abundant number, since it is smaller than the sum of its proper divisors (407143157963376).

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

221112031131024 is a wasteful number, since it uses less digits than its factorization.

221112031131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981573 (or 6981567 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 221112031131024 its reverse (420131130211122), we get a palindrome (641243161342146).

The spelling of 221112031131024 in words is "two hundred twenty-one trillion, one hundred twelve billion, thirty-one million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 269 446 528 538 669 807 892 1076 1338 1614 1784 2152 2453 2676 2959 3228 3568 4304 4906 5352 5918 6456 7359 8877 9812 10704 11836 12912 14718 17754 19624 23672 29436 35508 39248 47344 58872 59987 71016 117744 119974 142032 179961 239948 359922 479896 659857 719844 959792 1319714 1439688 1979571 2639428 2879376 3959142 5278856 6981059 7918284 10557712 13962118 15836568 20943177 27924236 31673136 41886354 55848472 76791649 83772708 111696944 153583298 167545416 230374947 307166596 335090832 460749894 614333192 921499788 1228666384 1556776157 1842999576 1877904871 3113552314 3685999152 3755809742 4670328471 5633714613 6227104628 7511619484 9340656942 11267429226 12454209256 15023238968 17124537727 18681313884 20656953581 22534858452 24908418512 30046477936 34249075454 37362627768 41313907162 45069716904 51373613181 61970860743 68498150908 74725255536 82627814324 90139433808 102747226362 123941721486 136996301816 165255628648 205494452724 247883442972 273992603632 330511257296 410988905448 418772786233 495766885944 821977810896 837545572466 991533771888 1256318358699 1675091144932 2512636717398 3350182289864 4606500648563 5025273434796 6700364579728 9213001297126 10050546869592 13819501945689 18426002594252 20101093739184 27639003891378 36852005188504 55278007782756 73704010377008 110556015565512 221112031131024