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42110111122200 = 233252112126773289
BaseRepresentation
bin10011001001100100001100…
…01101110000001100011000
312112002200120001021102122200
421210302012031300030120
521004413001421402300
6225321041252450200
711604232544456502
oct1144620615601430
9175080501242580
1042110111122200
1112465885a137a0
12488127b019960
131a65c74364ac4
14a581d6bd6d72
154d05a9942200
hex264c86370318

42110111122200 has 144 divisors (see below), whose sum is σ = 154276134456600. Its totient is φ = 10208511782400.

The previous prime is 42110111122141. The next prime is 42110111122231. The reversal of 42110111122200 is 222111101124.

42110111122200 is a `hidden beast` number, since 421 + 1 + 0 + 1 + 11 + 12 + 220 + 0 = 666.

It is a super-2 number, since 2×421101111222002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1063366845 + ... + 1063406444.

Almost surely, 242110111122200 is an apocalyptic number.

42110111122200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42110111122200 is an abundant number, since it is smaller than the sum of its proper divisors (112166023334400).

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

42110111122200 is a wasteful number, since it uses less digits than its factorization.

42110111122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126773322 (or 2126773310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 42110111122200 its reverse (222111101124), we get a palindrome (42332222223324).

The spelling of 42110111122200 in words is "forty-two trillion, one hundred ten billion, one hundred eleven million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 2126773289 4253546578 6380319867 8507093156 10633866445 12760639734 17014186312 19140959601 21267732890 23394506179 25521279468 31901599335 38281919202 42535465780 46789012358 51042558936 53169332225 63803198670 70183518537 76563838404 85070931560 93578024716 95704798005 106338664450 116972530895 127606397340 140367037074 153127676808 159507996675 187156049432 191409596010 210550555611 212677328900 233945061790 255212794680 280734074148 319015993350 350917592685 382819192020 421101111222 425354657800 467890123580 478523990025 561468148296 584862654475 638031986700 701835185370 765638384040 842202222444 935780247160 957047980050 1052752778055 1169725308950 1276063973400 1403670370740 1684404444888 1754587963425 1914095960100 2105505556110 2339450617900 2807340741480 3509175926850 3828191920200 4211011112220 4678901235800 5263763890275 7018351853700 8422022224440 10527527780550 14036703707400 21055055561100 42110111122200