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2112111110200 = 2352713116050061
BaseRepresentation
bin11110101111000011101…
…000011110100000111000
321110220201122200100002211
4132233003220132200320
5234101100421011300
64254142423104504
7305411040134530
oct36570350364070
97426648610084
102112111110200
11744817728273
122a14118a2134
1312422c23c0c0
14743261b24c0
1539e1a5d44ba
hex1ebc3a1e838

2112111110200 has 96 divisors (see below), whose sum is σ = 6043887228960. Its totient is φ = 668448345600.

The previous prime is 2112111110191. The next prime is 2112111110201. The reversal of 2112111110200 is 20111112112.

It is a happy number.

It is a super-2 number, since 2×21121111102002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111110201) 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, 58006831 + ... + 58043230.

It is an arithmetic number, because the mean of its divisors is an integer number (62957158635).

Almost surely, 22112111110200 is an apocalyptic number.

2112111110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112111110200 is an abundant number, since it is smaller than the sum of its proper divisors (3931776118760).

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

2112111110200 is a wasteful number, since it uses less digits than its factorization.

2112111110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116050097 (or 116050088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112111110200 its reverse (20111112112), we get a palindrome (2132222222312).

The spelling of 2112111110200 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 116050061 232100122 464200244 580250305 812350427 928400488 1160500610 1508650793 1624700854 2321001220 2901251525 3017301586 3249401708 4061752135 4642002440 5802503050 6034603172 6498803416 7543253965 8123504270 10560555551 11605006100 12069206344 15086507930 16247008540 20308760675 21121111102 23210012200 30173015860 32494017080 37716269825 40617521350 42242222204 52802777755 60346031720 75432539650 81235042700 84484444408 105605555510 150865079300 162470085400 211211111020 264013888775 301730158600 422422222040 528027777550 1056055555100 2112111110200