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212132213320 = 2355303305333
BaseRepresentation
bin1100010110010000010…
…0001011001001001000
3202021112212011222102111
43011210010023021020
511433421321311240
6241241401312104
721216556030216
oct3054404131110
9667485158374
10212132213320
1181a68116685
1235142795634
1317008995a21
14a3a54b7cb6
1557b860e1ea
hex316410b248

212132213320 has 16 divisors (see below), whose sum is σ = 477297480060. Its totient is φ = 84852885312.

The previous prime is 212132213299. The next prime is 212132213333. The reversal of 212132213320 is 23312231212.

It can be written as a sum of positive squares in 2 ways, for example, as 211473059044 + 659154276 = 459862^2 + 25674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212132213291 and 212132213300.

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, 2651652627 + ... + 2651652706.

Almost surely, 2212132213320 is an apocalyptic number.

212132213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132213320 is an abundant number, since it is smaller than the sum of its proper divisors (265165266740).

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

212132213320 is a wasteful number, since it uses less digits than its factorization.

212132213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303305344 (or 5303305340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212132213320 its reverse (23312231212), we get a palindrome (235444444532).

The spelling of 212132213320 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5303305333 10606610666 21213221332 26516526665 42426442664 53033053330 106066106660 212132213320