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12211142010 = 235407038067
BaseRepresentation
bin10110101111101011…
…10011110101111010
31011112000102021201220
423113311303311322
5200002023021020
65335411052510
7611413665054
oct132765636572
934460367656
1012211142010
1151a6964801
1224495a1136
1311c7b20422
1483baa08d4
154b707b240
hex2d7d73d7a

12211142010 has 16 divisors (see below), whose sum is σ = 29306740896. Its totient is φ = 3256304528.

The previous prime is 12211141963. The next prime is 12211142011. The reversal of 12211142010 is 1024111221.

It is a super-2 number, since 2×122111420102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211142011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203519004 + ... + 203519063.

It is an arithmetic number, because the mean of its divisors is an integer number (1831671306).

Almost surely, 212211142010 is an apocalyptic number.

12211142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211142010 is an abundant number, since it is smaller than the sum of its proper divisors (17095598886).

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

12211142010 is a wasteful number, since it uses less digits than its factorization.

12211142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407038077.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211142010 its reverse (1024111221), we get a palindrome (13235253231).

The spelling of 12211142010 in words is "twelve billion, two hundred eleven million, one hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 407038067 814076134 1221114201 2035190335 2442228402 4070380670 6105571005 12211142010