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222103231211112 = 23329503937677077
BaseRepresentation
bin110010100000000001110000…
…001100110010011001101000
31002010101212021001200021210120
4302200001300030302121220
5213102414404142223422
62104212452115443240
764532300055554526
oct6240016014623150
91063355231607716
10222103231211112
11648504a6887a79
1220ab11168b6520
1396c1324b92544
143cbbbd4983316
151aa2634b5345c
hexca0070332668

222103231211112 has 128 divisors (see below), whose sum is σ = 576161961580800. Its totient is φ = 71263148156928.

The previous prime is 222103231211093. The next prime is 222103231211137. The reversal of 222103231211112 is 211112132301222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327693918 + ... + 328370994.

It is an arithmetic number, because the mean of its divisors is an integer number (4501265324850).

Almost surely, 2222103231211112 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 222103231211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288080980790400).

222103231211112 is an abundant number, since it is smaller than the sum of its proper divisors (354058730369688).

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

222103231211112 is a wasteful number, since it uses less digits than its factorization.

222103231211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678555 (or 678551 counting only the distinct ones).

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

Adding to 222103231211112 its reverse (211112132301222), we get a palindrome (433215363512334).

The spelling of 222103231211112 in words is "two hundred twenty-two trillion, one hundred three billion, two hundred thirty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 503 696 937 1006 1509 1874 2012 2811 3018 3748 4024 5622 6036 7496 11244 12072 14587 22488 27173 29174 43761 54346 58348 81519 87522 108692 116696 163038 175044 217384 326076 350088 471311 652152 677077 942622 1354154 1413933 1885244 2031231 2708308 2827866 3770488 4062462 5416616 5655732 8124924 11311464 13668019 16249848 19635233 27336038 39270466 41004057 54672076 58905699 78540932 82008114 109344152 117811398 157081864 164016228 235622796 328032456 340569731 471245592 634421149 681139462 1021709193 1268842298 1362278924 1903263447 2043418386 2537684596 2724557848 3806526894 4086836772 5075369192 7613053788 8173673544 9876522199 15226107576 18398213321 19753044398 29629566597 36796426642 39506088796 55194639963 59259133194 73592853284 79012177592 110389279926 118518266388 147185706568 220778559852 237036532776 319113837947 441557119704 638227675894 957341513841 1276455351788 1914683027682 2552910703576 3829366055364 7658732110728 9254301300463 18508602600926 27762903901389 37017205201852 55525807802778 74034410403704 111051615605556 222103231211112