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1220100110112 = 253133361290879
BaseRepresentation
bin10001110000010011101…
…000100011011100100000
311022122021212121111111010
4101300103220203130200
5124442231112010422
62332301203420520
7154102134551112
oct21602350433440
94278255544433
101220100110112
11430494782344
12178569084740
138b0939442a0
14430a5c2d3b2
1521b0e62db0c
hex11c13a23720

1220100110112 has 96 divisors (see below), whose sum is σ = 3450167239680. Its totient is φ = 375302430720.

The previous prime is 1220100110101. The next prime is 1220100110137. The reversal of 1220100110112 is 2110110010221.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4049089 + ... + 4339967.

It is an arithmetic number, because the mean of its divisors is an integer number (35939242080).

Almost surely, 21220100110112 is an apocalyptic number.

1220100110112 is a gapful number since it is divisible by the number (12) 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 1220100110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725083619840).

1220100110112 is an abundant number, since it is smaller than the sum of its proper divisors (2230067129568).

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

1220100110112 is a wasteful number, since it uses less digits than its factorization.

1220100110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294266 (or 294258 counting only the distinct ones).

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

Adding to 1220100110112 its reverse (2110110010221), we get a palindrome (3330210120333).

The spelling of 1220100110112 in words is "one trillion, two hundred twenty billion, one hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3361 6722 10083 13444 20166 26888 40332 43693 53776 80664 87386 107552 131079 161328 174772 262158 290879 322656 349544 524316 581758 699088 872637 1048632 1163516 1398176 1745274 2097264 2327032 3490548 3781427 4194528 4654064 6981096 7562854 9308128 11344281 13962192 15125708 22688562 27924384 30251416 45377124 60502832 90754248 121005664 181508496 363016992 977644319 1955288638 2932932957 3910577276 5865865914 7821154552 11731731828 12709376147 15642309104 23463463656 25418752294 31284618208 38128128441 46926927312 50837504588 76256256882 93853854624 101675009176 152512513764 203350018352 305025027528 406700036704 610050055056 1220100110112