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12211001010 = 23251310436753
BaseRepresentation
bin10110101111101010…
…10001011010110010
31011112000011010022200
423113311101122302
5200002004013020
65335404044030
7611412540015
oct132765213262
934460133280
1012211001010
1151a687887a
122449533616
1311c7aa11b0
1483ba6537c
154b704e590
hex2d7d516b2

12211001010 has 48 divisors (see below), whose sum is σ = 34190806104. Its totient is φ = 3005784576.

The previous prime is 12211000999. The next prime is 12211001017. The reversal of 12211001010 is 1010011221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9326344329 + 2884656681 = 96573^2 + 53709^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12211000983 and 12211001001.

It is not an unprimeable number, because it can be changed into a prime (12211001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5217207 + ... + 5219546.

Almost surely, 212211001010 is an apocalyptic number.

12211001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211001010 is an abundant number, since it is smaller than the sum of its proper divisors (21979805094).

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

12211001010 is a wasteful number, since it uses less digits than its factorization.

12211001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436779 (or 10436776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211001010 its reverse (1010011221), we get a palindrome (13221012231).

The spelling of 12211001010 in words is "twelve billion, two hundred eleven million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10436753 20873506 31310259 52183765 62620518 93930777 104367530 135677789 156551295 187861554 271355578 313102590 407033367 469653885 678388945 814066734 939307770 1221100101 1356777890 2035166835 2442200202 4070333670 6105500505 12211001010