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2112102022200 = 2335213126871527
BaseRepresentation
bin11110101111000011000…
…101110011110000111000
321110220201000120121201020
4132233003011303300320
5234101041104202300
64254141500222440
7305410566654102
oct36570305636070
97426630517636
102112102022200
11744812590325
122a140a83aa20
1312422a3a96a1
1474324cc8572
1539e198db8a0
hex1ebc3173c38

2112102022200 has 96 divisors (see below), whose sum is σ = 6597497554560. Its totient is φ = 558927740800.

The previous prime is 2112102022189. The next prime is 2112102022211. The reversal of 2112102022200 is 22202012112.

It is an interprime number because it is at equal distance from previous prime (2112102022189) and next prime (2112102022211).

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 2112102022200.

It is a congruent number.

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, 13357164 + ... + 13514363.

It is an arithmetic number, because the mean of its divisors is an integer number (68723932860).

Almost surely, 22112102022200 is an apocalyptic number.

2112102022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102022200 is an abundant number, since it is smaller than the sum of its proper divisors (4485395532360).

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

2112102022200 is a wasteful number, since it uses less digits than its factorization.

2112102022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26871677 (or 26871668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2112102022200 its reverse (22202012112), we get a palindrome (2134304034312).

The spelling of 2112102022200 in words is "two trillion, one hundred twelve billion, one hundred two million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 131 150 200 262 300 393 524 600 655 786 1048 1310 1572 1965 2620 3144 3275 3930 5240 6550 7860 9825 13100 15720 19650 26200 39300 78600 26871527 53743054 80614581 107486108 134357635 161229162 214972216 268715270 322458324 403072905 537430540 644916648 671788175 806145810 1074861080 1343576350 1612291620 2015364525 2687152700 3224583240 3520170037 4030729050 5374305400 7040340074 8061458100 10560510111 14080680148 16122916200 17600850185 21121020222 28161360296 35201700370 42242040444 52802550555 70403400740 84484080888 88004250925 105605101110 140806801480 176008501850 211210202220 264012752775 352017003700 422420404440 528025505550 704034007400 1056051011100 2112102022200