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2200110112100 = 225259521715739
BaseRepresentation
bin100000000001000000110…
…010000001110101100100
321210022212110022210212102
4200001000302001311210
5242021311142041400
64402414443111232
7314644531251425
oct40010062016544
97708773283772
102200110112100
1177907488a91a
122b6490512518
1312c614627924
14786b343564c
153c36ae529d5
hex20040c81d64

2200110112100 has 72 divisors (see below), whose sum is σ = 4864483965600. Its totient is φ = 863466323200.

The previous prime is 2200110112099. The next prime is 2200110112111. The reversal of 2200110112100 is 12110110022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716031 + ... + 3431769.

It is an arithmetic number, because the mean of its divisors is an integer number (67562277300).

Almost surely, 22200110112100 is an apocalyptic number.

2200110112100 is a gapful number since it is divisible by the number (20) 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 2200110112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432241982800).

2200110112100 is an abundant number, since it is smaller than the sum of its proper divisors (2664373853500).

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

2200110112100 is a wasteful number, since it uses less digits than its factorization.

2200110112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716333 (or 716326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2200110112100 its reverse (12110110022), we get a palindrome (2212220222122).

The spelling of 2200110112100 in words is "two trillion, two hundred billion, one hundred ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 521 590 1042 1180 1475 2084 2605 2950 5210 5900 10420 13025 26050 30739 52100 61478 122956 153695 307390 614780 715739 768475 1431478 1536950 2862956 3073900 3578695 7157390 14314780 17893475 35786950 42228601 71573900 84457202 168914404 211143005 372900019 422286010 745800038 844572020 1055715025 1491600076 1864500095 2111430050 3729000190 4222860100 7458000380 9322500475 18645000950 22001101121 37290001900 44002202242 88004404484 110005505605 220011011210 440022022420 550027528025 1100055056050 2200110112100