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110120021001100 = 225211839119319559
BaseRepresentation
bin11001000010011101010000…
…101111000000001110001100
3112102220101000121020100201001
4121002131100233000032030
5103413201300334013400
61030112234514230044
732123623530300625
oct3102352057001614
9472811017210631
10110120021001100
11320a67030397a0
1210425bb8285324
13495a37292c7c6
141d29ba1d92a4c
15cae71b465a6a
hex642750bc038c

110120021001100 has 72 divisors (see below), whose sum is σ = 260994832761600. Its totient is φ = 39995915841600.

The previous prime is 110120021001079. The next prime is 110120021001113. The reversal of 110120021001100 is 1100120021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58736880 + ... + 60582679.

It is an arithmetic number, because the mean of its divisors is an integer number (3624928232800).

Almost surely, 2110120021001100 is an apocalyptic number.

110120021001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120021001100 is an abundant number, since it is smaller than the sum of its proper divisors (150874811760500).

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

110120021001100 is a wasteful number, since it uses less digits than its factorization.

110120021001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119320423 (or 119320416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110120021001100 its reverse (1100120021011), we get a palindrome (111220141022111).

The spelling of 110120021001100 in words is "one hundred ten trillion, one hundred twenty billion, twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 839 1100 1678 3356 4195 8390 9229 16780 18458 20975 36916 41950 46145 83900 92290 184580 230725 461450 922900 119319559 238639118 477278236 596597795 1193195590 1312515149 2386391180 2625030298 2982988975 5250060596 5965977950 6562575745 11931955900 13125151490 26250302980 32812878725 65625757450 100109110001 131251514900 200218220002 400436440004 500545550005 1001091100010 1101200210011 2002182200020 2202400420022 2502727750025 4404800840044 5005455500050 5506001050055 10010911000100 11012002100110 22024004200220 27530005250275 55060010500550 110120021001100