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2100111022320 = 243537866927281
BaseRepresentation
bin11110100011111000010…
…111110001100011110000
321102202202100101201012120
4132203320113301203300
5233402011410203240
64244435551354240
7304504465103553
oct36437027614360
97382670351176
102100111022320
1173a719a16673
1229b022b22980
1312306907659c
147390857069a
1539966d47ad0
hex1e8f85f18f0

2100111022320 has 160 divisors (see below), whose sum is σ = 6687315823680. Its totient is φ = 544810844160.

The previous prime is 2100111022301. The next prime is 2100111022393. The reversal of 2100111022320 is 232201110012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100111022320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76967080 + ... + 76994360.

It is an arithmetic number, because the mean of its divisors is an integer number (41795723898).

Almost surely, 22100111022320 is an apocalyptic number.

2100111022320 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 2100111022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343657911840).

2100111022320 is an abundant number, since it is smaller than the sum of its proper divisors (4587204801360).

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

2100111022320 is a wasteful number, since it uses less digits than its factorization.

2100111022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36003 (or 35997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2100111022320 its reverse (232201110012), we get a palindrome (2332312132332).

The spelling of 2100111022320 in words is "two trillion, one hundred billion, one hundred eleven million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8669 8880 17338 26007 27281 34676 43345 52014 54562 69352 81843 86690 104028 109124 130035 136405 138704 163686 173380 208056 218248 260070 272810 320753 327372 346760 409215 416112 436496 520140 545620 641506 654744 693520 818430 962259 1009397 1040280 1091240 1283012 1309488 1603765 1636860 1924518 2018794 2080560 2182480 2566024 3028191 3207530 3273720 3849036 4037588 4811295 5046985 5132048 6056382 6415060 6547440 7698072 8075176 9622590 10093970 12112764 12830120 15140955 15396144 16150352 19245180 20187940 24225528 25660240 30281910 38490360 40375880 48451056 60563820 76980720 80751760 121127640 236498989 242255280 472997978 709496967 945995956 1182494945 1418993934 1891991912 2364989890 2837987868 3547484835 3783983824 4729979780 5675975736 7094969670 8750462593 9459959560 11351951472 14189939340 17500925186 18919919120 26251387779 28379878680 35001850372 43752312965 52502775558 56759757360 70003700744 87504625930 105005551116 131256938895 140007401488 175009251860 210011102232 262513877790 350018503720 420022204464 525027755580 700037007440 1050055511160 2100111022320