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211242010300 = 225215831334441
BaseRepresentation
bin1100010010111100000…
…0010100011010111100
3202012020211002222110021
43010233000110122330
511430110423312200
6241013201221524
721155526314146
oct3045700243274
9665224088407
10211242010300
1181650675a02
1234b346318a4
1316bc641c689
14a31d18bc96
1557653ba41a
hex312f0146bc

211242010300 has 36 divisors (see below), whose sum is σ = 458685079776. Its totient is φ = 84443363200.

The previous prime is 211242010297. The next prime is 211242010303. The reversal of 211242010300 is 3010242112.

It is an interprime number because it is at equal distance from previous prime (211242010297) and next prime (211242010303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242010303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 508921 + ... + 825520.

It is an arithmetic number, because the mean of its divisors is an integer number (12741252216).

Almost surely, 2211242010300 is an apocalyptic number.

211242010300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242010300 is an abundant number, since it is smaller than the sum of its proper divisors (247443069476).

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

211242010300 is a wasteful number, since it uses less digits than its factorization.

211242010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336038 (or 1336031 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211242010300 its reverse (3010242112), we get a palindrome (214252252412).

The spelling of 211242010300 in words is "two hundred eleven billion, two hundred forty-two million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1583 3166 6332 7915 15830 31660 39575 79150 158300 1334441 2668882 5337764 6672205 13344410 26688820 33361025 66722050 133444100 2112420103 4224840206 8449680412 10562100515 21124201030 42248402060 52810502575 105621005150 211242010300