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212012002001100 = 223527100958096191
BaseRepresentation
bin110000001101001011100100…
…000100010100000011001100
31000210200011000221120222201010
4300031023210010110003030
5210242101040003013400
62030524545200045220
762441235023550060
oct6015134404240314
91023604027528633
10212012002001100
116160a86aa96224
121b94141a603810
13913b852364062
143a4d6155c1aa0
151979dba9c8450
hexc0d2e41140cc

212012002001100 has 72 divisors (see below), whose sum is σ = 701053019957248. Its totient is φ = 48459886171200.

The previous prime is 212012002001099. The next prime is 212012002001113. The reversal of 212012002001100 is 1100200210212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 50479045996 + ... + 50479050195.

Almost surely, 2212012002001100 is an apocalyptic number.

212012002001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012002001100 is an abundant number, since it is smaller than the sum of its proper divisors (489041017956148).

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

212012002001100 is a wasteful number, since it uses less digits than its factorization.

212012002001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100958096215 (or 100958096208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212012002001100 its reverse (1100200210212), we get a palindrome (213112202211312).

The spelling of 212012002001100 in words is "two hundred twelve trillion, twelve billion, two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 100958096191 201916192382 302874288573 403832384764 504790480955 605748577146 706706673337 1009580961910 1211497154292 1413413346674 1514371442865 2019161923820 2120120020011 2523952404775 2826826693348 3028742885730 3533533366685 4240240040022 5047904809550 6057485771460 7067066733370 7571857214325 8480480080044 10095809619100 10600600100055 14134133466740 15143714428650 17667666833425 21201200200110 30287428857300 35335333666850 42402400400220 53003000500275 70670667333700 106006001000550 212012002001100