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12210210331 = 1119535571979
BaseRepresentation
bin10110101111100100…
…10000011000011011
31011111221122221201021
423113302100120123
5200001303212311
65335335103311
7611403034564
oct132762203033
934457587637
1012210210331
1151a6388820
122449211b37
1311c7885337
1483b8db16b
154b6e45171
hex2d7c9061b

12210210331 has 32 divisors (see below), whose sum is σ = 14318726400. Its totient is φ = 10293828480.

The previous prime is 12210210317. The next prime is 12210210379. The reversal of 12210210331 is 13301201221.

12210210331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12210210331 - 29 = 12210209819 is a prime.

It is a super-2 number, since 2×122102103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210210631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168900 + ... + 6170878.

It is an arithmetic number, because the mean of its divisors is an integer number (447460200).

Almost surely, 212210210331 is an apocalyptic number.

12210210331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12210210331 is a deficient number, since it is larger than the sum of its proper divisors (2108516069).

12210210331 is a wasteful number, since it uses less digits than its factorization.

12210210331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12210210331 its reverse (13301201221), we get a palindrome (25511411552).

The spelling of 12210210331 in words is "twelve billion, two hundred ten million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 11 19 53 209 557 583 1007 1979 6127 10583 11077 21769 29521 37601 104887 116413 324731 413611 560899 1102303 1153757 1992853 6169889 12125333 20943757 21921383 58422059 230381327 642642649 1110019121 12210210331