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212131210100 = 22522121312101
BaseRepresentation
bin1100010110010000000…
…0010110001101110100
3202021112210022000021012
43011210000112031310
511433421042210400
6241241324011352
721216544351325
oct3054400261564
9667483260235
10212131210100
1181a675a0977
1235142390b58
13170087041c4
14a3a52d644c
1557b84b1d35
hex3164016374

212131210100 has 18 divisors (see below), whose sum is σ = 460324726134. Its totient is φ = 84852484000.

The previous prime is 212131210099. The next prime is 212131210117. The reversal of 212131210100 is 1012131212.

It can be written as a sum of positive squares in 3 ways, for example, as 49215647716 + 162915562384 = 221846^2 + 403628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060655951 + ... + 1060656150.

Almost surely, 2212131210100 is an apocalyptic number.

212131210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131210100 is an abundant number, since it is smaller than the sum of its proper divisors (248193516034).

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

212131210100 is a wasteful number, since it uses less digits than its factorization.

212131210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121312115 (or 2121312108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212131210100 its reverse (1012131212), we get a palindrome (213143341312).

The spelling of 212131210100 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2121312101 4242624202 8485248404 10606560505 21213121010 42426242020 53032802525 106065605050 212131210100