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212132211300 = 223252235702457
BaseRepresentation
bin1100010110010000010…
…0001010101001100100
3202021112212011212122200
43011210010022221210
511433421321230200
6241241401254500
721216556021302
oct3054404125144
9667485155580
10212132211300
1181a68115109
1235142794430
1317008994b29
14a3a54b7272
1557b860d800
hex316410aa64

212132211300 has 54 divisors (see below), whose sum is σ = 664916634018. Its totient is φ = 56568589440.

The previous prime is 212132211299. The next prime is 212132211301. The reversal of 212132211300 is 3112231212.

212132211300 is a `hidden beast` number, since 2 + 121 + 32 + 211 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (212132211299) and next prime (212132211301).

It can be written as a sum of positive squares in 3 ways, for example, as 1274918436 + 210857292864 = 35706^2 + 459192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212132211301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117850329 + ... + 117852128.

Almost surely, 2212132211300 is an apocalyptic number.

212132211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132211300 is an abundant number, since it is smaller than the sum of its proper divisors (452784422718).

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

212132211300 is a wasteful number, since it uses less digits than its factorization.

212132211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235702477 (or 235702467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212132211300 its reverse (3112231212), we get a palindrome (215244442512).

The spelling of 212132211300 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235702457 471404914 707107371 942809828 1178512285 1414214742 2121322113 2357024570 2828429484 3535536855 4242644226 4714049140 5892561425 7071073710 8485288452 10606610565 11785122850 14142147420 17677684275 21213221130 23570245700 35355368550 42426442260 53033052825 70710737100 106066105650 212132211300