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212132103200 = 2552265165129
BaseRepresentation
bin1100010110010000001…
…1110000010000100000
3202021112211222101100222
43011210003300100200
511433421304300300
6241241355102212
721216555061163
oct3054403602040
9667484871328
10212132103200
1181a68050976
1235142741968
1317008957874
14a3a5489ada
1557b85db785
hex31640f0420

212132103200 has 36 divisors (see below), whose sum is σ = 517867498890. Its totient is φ = 84852840960.

The previous prime is 212132103181. The next prime is 212132103233. The reversal of 212132103200 is 2301231212.

It can be written as a sum of positive squares in 3 ways, for example, as 201525575056 + 10606528144 = 448916^2 + 102988^2 .

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, 132581765 + ... + 132583364.

Almost surely, 2212132103200 is an apocalyptic number.

212132103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132103200 is an abundant number, since it is smaller than the sum of its proper divisors (305735395690).

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

212132103200 is a wasteful number, since it uses less digits than its factorization.

212132103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265165149 (or 265165136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212132103200 its reverse (2301231212), we get a palindrome (214433334412).

The spelling of 212132103200 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 265165129 530330258 1060660516 1325825645 2121321032 2651651290 4242642064 5303302580 6629128225 8485284128 10606605160 13258256450 21213210320 26516512900 42426420640 53033025800 106066051600 212132103200