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212021111200200 = 233521720786383451
BaseRepresentation
bin110000001101010100000011…
…000001001001100111001000
31000210201000112210011020201120
4300031110003001021213020
5210242223213431401300
62030533053121515240
762442006533505621
oct6015240301114710
91023630483136646
10212021111200200
1161613714991345
121b9431411a2b20
13913c674628cb3
143a4dc3b300a48
15197a2505753a0
hexc0d5030499c8

212021111200200 has 96 divisors (see below), whose sum is σ = 695928117972960. Its totient is φ = 53213141632000.

The previous prime is 212021111200189. The next prime is 212021111200211. The reversal of 212021111200200 is 2002111120212.

It is an interprime number because it is at equal distance from previous prime (212021111200189) and next prime (212021111200211).

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 212021111200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10393181526 + ... + 10393201925.

It is an arithmetic number, because the mean of its divisors is an integer number (7249251228885).

Almost surely, 2212021111200200 is an apocalyptic number.

212021111200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021111200200 is an abundant number, since it is smaller than the sum of its proper divisors (483907006772760).

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

212021111200200 is a wasteful number, since it uses less digits than its factorization.

212021111200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786383487 (or 20786383478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212021111200200 its reverse (2002111120212), we get a palindrome (214023222320412).

The spelling of 212021111200200 in words is "two hundred twelve trillion, twenty-one billion, one hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 20786383451 41572766902 62359150353 83145533804 103931917255 124718300706 166291067608 207863834510 249436601412 311795751765 353368518667 415727669020 498873202824 519659586275 623591503530 706737037334 831455338040 1039319172550 1060105556001 1247183007060 1413474074668 1558978758825 1766842593335 2078638345100 2120211112002 2494366014120 2826948149336 3117957517650 3533685186670 4157276690200 4240422224004 5300527780005 6235915035300 7067370373340 8480844448008 8834212966675 10601055560010 12471830070600 14134740746680 17668425933350 21202111120020 26502638900025 35336851866700 42404222240040 53005277800050 70673703733400 106010555600100 212021111200200