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1112112121100 = 22521910120692801
BaseRepresentation
bin10000001011101111000…
…011000100010100001100
310221022120000011021022112
4100023233003010110030
5121210101200333400
62210521450203152
7143230114025651
oct20135703042414
93838500137275
101112112121100
1139970a332932
1215b6501234b8
1380b44238736
143bb7dd4dc28
151ddddebc835
hex102ef0c450c

1112112121100 has 144 divisors (see below), whose sum is σ = 2567605975200. Its totient is φ = 416908800000.

The previous prime is 1112112121097. The next prime is 1112112121129. The reversal of 1112112121100 is 11212112111.

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, 397039700 + ... + 397042500.

It is an arithmetic number, because the mean of its divisors is an integer number (17830597050).

Almost surely, 21112112121100 is an apocalyptic number.

1112112121100 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 1112112121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283802987600).

1112112121100 is an abundant number, since it is smaller than the sum of its proper divisors (1455493854100).

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

1112112121100 is a wasteful number, since it uses less digits than its factorization.

1112112121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1112112121100 its reverse (11212112111), we get a palindrome (1123324233211).

The spelling of 1112112121100 in words is "one trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 950 1010 1900 1919 2020 2069 2525 2801 3838 4138 5050 5602 7676 8276 9595 10100 10345 11204 14005 19190 20690 28010 38380 39311 41380 47975 51725 53219 56020 70025 78622 95950 103450 106438 140050 157244 191900 196555 206900 208969 212876 266095 280100 282901 393110 417938 532190 565802 786220 835876 982775 1044845 1064380 1131604 1330475 1414505 1965550 2089690 2660950 2829010 3931100 3970411 4179380 5224225 5321900 5375119 5658020 5795269 7072525 7940822 10448450 10750238 11590538 14145050 15881644 19852055 20896900 21500476 23181076 26875595 28290100 28976345 39704110 53751190 57952690 79408220 99260275 107502380 110110111 115905380 134377975 144881725 198520550 220220222 268755950 289763450 397041100 440440444 537511900 550550555 579526900 585322169 1101101110 1170644338 2202202220 2341288676 2752752775 2926610845 5505505550 5853221690 11011011100 11121121211 11706443380 14633054225 22242242422 29266108450 44484484844 55605606055 58532216900 111211212110 222422424220 278028030275 556056060550 1112112121100