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212134301104200 = 233521033432593869
BaseRepresentation
bin110000001110111101011101…
…101010010111100001001000
31000211002211201011221010202020
4300032331131222113201020
5210301102022040313300
62031101052542204440
762453124511020006
oct6016753552274110
91024084634833666
10212134301104200
1161657719709552
121b961070283720
13914a24296b257
143a554d8001a76
15197d1777248a0
hexc0ef5da97848

212134301104200 has 96 divisors (see below), whose sum is σ = 664000958212800. Its totient is φ = 56019931925760.

The previous prime is 212134301104177. The next prime is 212134301104207. The reversal of 212134301104200 is 2401103431212.

212134301104200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212134301104207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716235135 + ... + 1716358734.

It is an arithmetic number, because the mean of its divisors is an integer number (6916676648050).

Almost surely, 2212134301104200 is an apocalyptic number.

212134301104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134301104200 is an abundant number, since it is smaller than the sum of its proper divisors (451866657108600).

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

212134301104200 is a wasteful number, since it uses less digits than its factorization.

212134301104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432593991 (or 3432593982 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212134301104200 its reverse (2401103431212), we get a palindrome (214535404535412).

The spelling of 212134301104200 in words is "two hundred twelve trillion, one hundred thirty-four billion, three hundred one million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 150 200 206 300 309 412 515 600 618 824 1030 1236 1545 2060 2472 2575 3090 4120 5150 6180 7725 10300 12360 15450 20600 30900 61800 3432593869 6865187738 10297781607 13730375476 17162969345 20595563214 27460750952 34325938690 41191126428 51488908035 68651877380 82382252856 85814846725 102977816070 137303754760 171629693450 205955632140 257444540175 343259386900 353557168507 411911264280 514889080350 686518773800 707114337014 1029778160700 1060671505521 1414228674028 1767785842535 2059556321400 2121343011042 2828457348056 3535571685070 4242686022084 5303357527605 7071143370140 8485372044168 8838929212675 10606715055210 14142286740280 17677858425350 21213430110420 26516787638025 35355716850700 42426860220840 53033575276050 70711433701400 106067150552100 212134301104200