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212322410010 = 232517138772817
BaseRepresentation
bin1100010110111101100…
…1101101111000011010
3202022001010001222020100
43011233121231320122
511434314014110020
6241312314040230
721224355464424
oct3055731557032
9668033058210
10212322410010
1182055513227
1235196419076
13170391c9b49
14a3c2867814
1557ca17da90
hex316f66de1a

212322410010 has 48 divisors (see below), whose sum is σ = 584511109416. Its totient is φ = 53288761344.

The previous prime is 212322409991. The next prime is 212322410011. The reversal of 212322410010 is 10014223212.

It is a happy number.

212322410010 is a `hidden beast` number, since 21 + 232 + 2 + 410 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207233442441 + 5088967569 = 455229^2 + 71337^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212322410011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69384879 + ... + 69387938.

Almost surely, 2212322410010 is an apocalyptic number.

212322410010 is an abundant number, since it is smaller than the sum of its proper divisors (372188699406).

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

212322410010 is a wasteful number, since it uses less digits than its factorization.

212322410010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138772847 (or 138772844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212322410010 its reverse (10014223212), we get a palindrome (222336633222).

The spelling of 212322410010 in words is "two hundred twelve billion, three hundred twenty-two million, four hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 138772817 277545634 416318451 693864085 832636902 1248955353 1387728170 2081592255 2359137889 2497910706 4163184510 4718275778 6244776765 7077413667 11795689445 12489553530 14154827334 21232241001 23591378890 35387068335 42464482002 70774136670 106161205005 212322410010