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2111200110200 = 235229396791757
BaseRepresentation
bin11110101110001101010…
…101010010011001111000
321110211101011110202001002
4132232031111102121320
5234042214212011300
64253512201144132
7305346335563046
oct36561525223170
97424334422032
102111200110200
1174439a472505
122a11b878b048
1312411559394c
147427b1d1396
1539db56335d5
hex1eb8d552678

2111200110200 has 96 divisors (see below), whose sum is σ = 5079135628800. Its totient is φ = 815145623040.

The previous prime is 2111200110199. The next prime is 2111200110203. The reversal of 2111200110200 is 20110021112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111200110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22962722 + ... + 23054478.

It is an arithmetic number, because the mean of its divisors is an integer number (52907662800).

Almost surely, 22111200110200 is an apocalyptic number.

2111200110200 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 2111200110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539567814400).

2111200110200 is an abundant number, since it is smaller than the sum of its proper divisors (2967935518600).

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

2111200110200 is a wasteful number, since it uses less digits than its factorization.

2111200110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95769 (or 95760 counting only the distinct ones).

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

Adding to 2111200110200 its reverse (20110021112), we get a palindrome (2131310131312).

The spelling of 2111200110200 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3967 5800 7934 15868 19835 31736 39670 79340 91757 99175 115043 158680 183514 198350 230086 367028 396700 458785 460172 575215 734056 793400 917570 920344 1150430 1835140 2293925 2300860 2660953 2876075 3670280 4587850 4601720 5321906 5752150 9175700 10643812 11504300 13304765 18351400 21287624 23008600 26609530 53219060 66523825 106438120 133047650 266095300 364000019 532190600 728000038 1456000076 1820000095 2912000152 3640000190 7280000380 9100000475 10556000551 14560000760 18200000950 21112001102 36400001900 42224002204 52780002755 72800003800 84448004408 105560005510 211120011020 263900013775 422240022040 527800027550 1055600055100 2111200110200