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112222200001100 = 2252710110914562397
BaseRepresentation
bin11001100001000011000100…
…010111011111001001001100
3112201100100010001220012222112
4121201003010113133021030
5104202122031200013400
61034402100022003152
732431533506051120
oct3141030427371114
9481310101805875
10112222200001100
1132837193301622
12107054b78764b8
134a8067b261607
141d9d825035580
15ce9254aec835
hex6610c45df24c

112222200001100 has 144 divisors (see below), whose sum is σ = 283645223252160. Its totient is φ = 37745730432000.

The previous prime is 112222200001063. The next prime is 112222200001139. The reversal of 112222200001100 is 1100002222211.

It is a super-3 number, since 3×1122222000011003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

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, 425102 + ... + 14987498.

Almost surely, 2112222200001100 is an apocalyptic number.

112222200001100 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 112222200001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141822611626080).

112222200001100 is an abundant number, since it is smaller than the sum of its proper divisors (171423023251060).

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

112222200001100 is a wasteful number, since it uses less digits than its factorization.

112222200001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562628 (or 14562621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112222200001100 its reverse (1100002222211), we get a palindrome (113322202223311).

The spelling of 112222200001100 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 109 140 175 202 218 350 404 436 505 545 700 707 763 1010 1090 1414 1526 2020 2180 2525 2725 2828 3052 3535 3815 5050 5450 7070 7630 10100 10900 11009 14140 15260 17675 19075 22018 35350 38150 44036 55045 70700 76300 77063 110090 154126 220180 275225 308252 385315 550450 770630 1100900 1541260 1926575 3853150 7706300 14562397 29124794 58249588 72811985 101936779 145623970 203873558 291247940 364059925 407747116 509683895 728119850 1019367790 1456239700 1470802097 1587301273 2038735580 2548419475 2941604194 3174602546 5096838950 5883208388 6349205092 7354010485 7936506365 10193677900 10295614679 11111108911 14708020970 15873012730 20591229358 22222217822 29416041940 31746025460 36770052425 39682531825 41182458716 44444435644 51478073395 55555544555 73540104850 79365063650 102956146790 111111089110 147080209700 158730127300 160317428573 205912293580 222222178220 257390366975 277777722775 320634857146 514780733950 555555445550 641269714292 801587142865 1029561467900 1111110891100 1122222000011 1603174285730 2244444000022 3206348571460 4007935714325 4488888000044 5611110000055 8015871428650 11222220000110 16031742857300 22444440000220 28055550000275 56111100000550 112222200001100