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111212220310312 = 23113173636187793
BaseRepresentation
bin11001010010010110011100…
…111000101110001100101000
3112120202210011211220222101011
4121102112130320232030220
5104034100111344412222
61032310104432033304
732265550331244502
oct3122263470561450
9476683154828334
10111212220310312
11324879240832a0
121058180b692834
134a093625696c4
141d669b3434d72
15cccd4218ac77
hex65259ce2e328

111212220310312 has 128 divisors (see below), whose sum is σ = 238074403230720. Its totient is φ = 48242055168000.

The previous prime is 111212220310231. The next prime is 111212220310339. The reversal of 111212220310312 is 213013022212111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1266711088 + ... + 1266798880.

It is an arithmetic number, because the mean of its divisors is an integer number (1859956275240).

Almost surely, 2111212220310312 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 111212220310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119037201615360).

111212220310312 is an abundant number, since it is smaller than the sum of its proper divisors (126862182920408).

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

111212220310312 is a wasteful number, since it uses less digits than its factorization.

111212220310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94275 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 111212220310312 its reverse (213013022212111), we get a palindrome (324225242522423).

The spelling of 111212220310312 in words is "one hundred eleven trillion, two hundred twelve billion, two hundred twenty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 73 88 124 146 248 292 341 584 682 803 1364 1606 2263 2728 3212 4526 6361 6424 9052 12722 18104 24893 25444 49786 50888 69971 87793 99572 139942 175586 197191 199144 279884 351172 394382 464353 559768 702344 788764 928706 965723 1577528 1857412 1931446 2169101 2721583 3714824 3862892 4338202 5107883 5443166 6408889 7725784 8676404 10215766 10886332 12817778 14394943 17352808 20431532 21772664 25635556 28789886 29937413 40863064 51271112 57579772 59874826 70497779 115159544 119749652 140995558 158344373 198675559 239499304 281991116 316688746 397351118 558451273 563982232 633377492 794702236 1116902546 1266754984 1589404472 2185431149 2233805092 4370862298 4467610184 6142964003 8741724596 12285928006 17311989463 17483449192 24571856012 34623978926 40766942929 49143712024 69247957852 81533885858 138495915704 163067771716 190431884093 326135543432 380863768186 448436372219 761727536372 896872744438 1263775230799 1523455072744 1793745488876 2527550461598 3587490977752 5055100923196 10110201846392 13901527538789 27803055077578 55606110155156 111212220310312