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212110212000 = 2535317675851
BaseRepresentation
bin1100010110001011000…
…0001111101110100000
3202021111022210012021210
43011202300033232200
511433400203241000
6241235253550120
721216201024351
oct3054260175640
9667438705253
10212110212000
1181a56759775
1235137345340
13170042616ab
14a3a25cbd28
1557b6715350
hex3162c0fba0

212110212000 has 96 divisors (see below), whose sum is σ = 694873093824. Its totient is φ = 56562720000.

The previous prime is 212110211987. The next prime is 212110212023. The reversal of 212110212000 is 212011212.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 8825926 + ... + 8849925.

It is an arithmetic number, because the mean of its divisors is an integer number (7238261394).

Almost surely, 2212110212000 is an apocalyptic number.

212110212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110212000 is an abundant number, since it is smaller than the sum of its proper divisors (482762881824).

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

212110212000 is a wasteful number, since it uses less digits than its factorization.

212110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17675879 (or 17675861 counting only the distinct ones).

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

Adding to 212110212000 its reverse (212011212), we get a palindrome (212322223212).

The spelling of 212110212000 in words is "two hundred twelve billion, one hundred ten million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 17675851 35351702 53027553 70703404 88379255 106055106 141406808 176758510 212110212 265137765 282813616 353517020 424220424 441896275 530275530 565627232 707034040 848440848 883792550 1060551060 1325688825 1414068080 1696881696 1767585100 2121102120 2209481375 2651377650 2828136160 3535170200 4242204240 4418962750 5302755300 6628444125 7070340400 8484408480 8837925500 10605510600 13256888250 14140680800 17675851000 21211021200 26513776500 35351702000 42422042400 53027553000 70703404000 106055106000 212110212000