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212132322320 = 2452651654029
BaseRepresentation
bin1100010110010000010…
…0100101110000010000
3202021112212101111221112
43011210010211300100
511433421333303240
6241241403512452
721216556663052
oct3054404456020
9667485344845
10212132322320
1181a68190566
1235142828728
1317008a03519
14a3a55058d2
1557b8631665
hex3164125c10

212132322320 has 20 divisors (see below), whose sum is σ = 493207649580. Its totient is φ = 84852928896.

The previous prime is 212132322263. The next prime is 212132322341. The reversal of 212132322320 is 23223231212.

It can be written as a sum of positive squares in 2 ways, for example, as 60007361296 + 152124961024 = 244964^2 + 390032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325826935 + ... + 1325827094.

It is an arithmetic number, because the mean of its divisors is an integer number (24660382479).

Almost surely, 2212132322320 is an apocalyptic number.

212132322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132322320 is an abundant number, since it is smaller than the sum of its proper divisors (281075327260).

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

212132322320 is a wasteful number, since it uses less digits than its factorization.

212132322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651654042 (or 2651654036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 212132322320 its reverse (23223231212), we get a palindrome (235355553532).

The spelling of 212132322320 in words is "two hundred twelve billion, one hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2651654029 5303308058 10606616116 13258270145 21213232232 26516540290 42426464464 53033080580 106066161160 212132322320