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1112120012100 = 22352311011111827
BaseRepresentation
bin10000001011101111100…
…001001010110101000100
310221022120120000011201210
4100023233201022311010
5121210110210341400
62210522331251420
7143230241062536
oct20135741126504
93838516004653
101112120012100
11399713832519
1215b6528a9b70
1380b45a6c376
143bb81005856
151dddea2a950
hex102ef84ad44

1112120012100 has 144 divisors (see below), whose sum is σ = 3322141147136. Its totient is φ = 286946064000.

The previous prime is 1112120012041. The next prime is 1112120012141. The reversal of 1112120012100 is 12100212111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94026387 + ... + 94038213.

Almost surely, 21112120012100 is an apocalyptic number.

1112120012100 is a gapful number since it is divisible by the number (10) 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 1112120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661070573568).

1112120012100 is an abundant number, since it is smaller than the sum of its proper divisors (2210021135036).

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

1112120012100 is a wasteful number, since it uses less digits than its factorization.

1112120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21986 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112120012100 its reverse (12100212111), we get a palindrome (1124220224211).

The spelling of 1112120012100 in words is "one trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 10111 11827 20222 23654 30333 35481 40444 47308 50555 59135 60666 70962 101110 118270 121332 141924 151665 177405 202220 236540 252775 295675 303330 313441 354810 366637 505550 591350 606660 626882 709620 733274 758325 887025 940323 1011100 1099911 1182700 1253764 1466548 1516650 1567205 1774050 1833185 1880646 2199822 3033300 3134410 3548100 3666370 3761292 4399644 4701615 5499555 6268820 7332740 7836025 9165925 9403230 10999110 15672050 18331850 18806460 21998220 23508075 27497775 31344100 36663700 47016150 54995550 94032300 109991100 119582797 239165594 358748391 478331188 597913985 717496782 1195827970 1434993564 1793741955 2391655940 2989569925 3587483910 3707066707 5979139850 7174967820 7414133414 8968709775 11121200121 11958279700 14828266828 17937419550 18535333535 22242400242 35874839100 37070667070 44484800484 55606000605 74141334140 92676667675 111212001210 185353335350 222424002420 278030003025 370706670700 556060006050 1112120012100