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220202202112112 = 241119831974027273
BaseRepresentation
bin110010000100010111010010…
…000010010010000001110000
31001212200010101002001010122102
4302010113102002102001300
5212330243102220041422
62100155254540355532
764245040563050363
oct6204272202220160
91055603332033572
10220202202112112
1164188258483a50
12208447b3b45ba8
1395b3c94b828ac
143c53bb45d00da
151a6ce70882192
hexc845d2092070

220202202112112 has 160 divisors (see below), whose sum is σ = 498343261489920. Its totient is φ = 93205894440960.

The previous prime is 220202202112111. The next prime is 220202202112121. The reversal of 220202202112112 is 211211202202022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202202112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52664108 + ... + 56691380.

It is an arithmetic number, because the mean of its divisors is an integer number (3114645384312).

Almost surely, 2220202202112112 is an apocalyptic number.

220202202112112 is a gapful number since it is divisible by the number (22) 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 220202202112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249171630744960).

220202202112112 is an abundant number, since it is smaller than the sum of its proper divisors (278141059377808).

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

220202202112112 is a wasteful number, since it uses less digits than its factorization.

220202202112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027591 (or 4027585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220202202112112 its reverse (211211202202022), we get a palindrome (431413404314134).

The spelling of 220202202112112 in words is "two hundred twenty trillion, two hundred two billion, two hundred two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 83 88 152 166 176 197 209 304 332 394 418 664 788 836 913 1328 1576 1577 1672 1826 2167 3152 3154 3344 3652 3743 4334 6308 7304 7486 8668 12616 14608 14972 16351 17336 17347 25232 29944 32702 34672 34694 41173 59888 65404 69388 82346 130808 138776 164692 179861 261616 277552 310669 329384 359722 621338 658768 719444 1242676 1438888 2485352 2877776 3417359 4027273 4970704 6834718 8054546 13669436 16109092 27338872 32218184 44300003 54677744 64436368 76518187 88600006 153036374 177200012 306072748 334263659 354400024 612145496 668527318 708800048 793372781 841700057 1224290992 1337054636 1586745562 1683400114 2674109272 3173491124 3366800228 3676900249 5348218544 6346982248 6351009521 6733600456 7353800498 8727100591 12693964496 12702019042 13467200912 14707600996 15074082839 17454201182 25404038084 29415201992 30148165678 34908402364 50808076168 58830403984 60296331356 65849940823 69816804728 69861104731 101616152336 120592662712 131699881646 139633609456 139722209462 165814911229 241185325424 263399763292 279444418924 331629822458 526799526584 558888837848 663259644916 724349349053 1053599053168 1117777675696 1251148875637 1326519289832 1448698698106 2502297751274 2653038579664 2897397396212 5004595502548 5794794792424 10009191005096 11589589584848 13762637632007 20018382010192 27525275264014 55050550528028 110101101056056 220202202112112