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212010212100 = 223523122796797
BaseRepresentation
bin1100010101110011001…
…0110001101100000100
3202021020100121200012210
43011130302301230010
511433144103241400
6241221322343420
721213545032431
oct3053462615404
9667210550183
10212010212100
1181a05268325
123510995ab70
1316cb961ac5b
14a3931dab88
1557aca60950
hex315ccb1b04

212010212100 has 72 divisors (see below), whose sum is σ = 633203861248. Its totient is φ = 54712310400.

The previous prime is 212010212087. The next prime is 212010212137. The reversal of 212010212100 is 1212010212.

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, 11389099 + ... + 11407698.

Almost surely, 2212010212100 is an apocalyptic number.

212010212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010212100 is an abundant number, since it is smaller than the sum of its proper divisors (421193649148).

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

212010212100 is a wasteful number, since it uses less digits than its factorization.

212010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22796845 (or 22796838 counting only the distinct ones).

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

Adding to 212010212100 its reverse (1212010212), we get a palindrome (213222222312).

The spelling of 212010212100 in words is "two hundred twelve billion, ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 22796797 45593594 68390391 91187188 113983985 136780782 227967970 273561564 341951955 455935940 569919925 683903910 706700707 1139839850 1367807820 1413401414 1709759775 2120102121 2279679700 2826802828 3419519550 3533503535 4240204242 6839039100 7067007070 8480408484 10600510605 14134014140 17667517675 21201021210 35335035350 42402042420 53002553025 70670070700 106005106050 212010212100