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222112101000012 = 2231922918612285891
BaseRepresentation
bin110010100000001010000000…
…111000010110001101001100
31002010102201011012202020202120
4302200022000320112031030
5213103041040324000022
62104220520210052540
764533032630535426
oct6240120070261514
91063381135666676
10222112101000012
1164854238622723
1220ab299127a150
1396c2109681c42
143cbc3d6981816
151aa29a36add5c
hexca0280e1634c

222112101000012 has 96 divisors (see below), whose sum is σ = 548215420435200. Its totient is φ = 69796816646400.

The previous prime is 222112100999969. The next prime is 222112101000071. The reversal of 222112101000012 is 210000101211222.

It is a junction number, because it is equal to n+sod(n) for n = 222112100999955 and 222112101000000.

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, 96023587 + ... + 98309477.

It is an arithmetic number, because the mean of its divisors is an integer number (5710577296200).

Almost surely, 2222112101000012 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 222112101000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274107710217600).

222112101000012 is an abundant number, since it is smaller than the sum of its proper divisors (326103319435188).

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

222112101000012 is a wasteful number, since it uses less digits than its factorization.

222112101000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288007 (or 2288005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222112101000012 its reverse (210000101211222), we get a palindrome (432112202211234).

The spelling of 222112101000012 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 229 458 687 916 1374 1861 2748 3722 4351 5583 7444 8702 11166 13053 17404 22332 26106 35359 52212 70718 106077 141436 212154 424308 426169 852338 1278507 1704676 2285891 2557014 4571782 5114028 6857673 8097211 9143564 13715346 16194422 24291633 27430692 32388844 43431929 48583266 86863858 97166532 130295787 173727716 260591574 521183148 523469039 1046938078 1570407117 2093876156 3140814234 4254043151 6281628468 8508086302 9945911741 12762129453 17016172604 19891823482 25524258906 29837735223 39783646964 51048517812 59675470446 80826819869 119350940892 161653639738 242480459607 323307279476 484960919214 969921838428 974175881579 1948351763158 2922527644737 3896703526316 5845055289474 11690110578948 18509341750001 37018683500002 55528025250003 74037367000004 111056050500006 222112101000012