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12311012021 = 7112131181613
BaseRepresentation
bin10110111011100101…
…10010001010110101
31011202222100012122012
423131302302022311
5200203104341041
65353335414005
7614035606220
oct133562621265
934688305565
1012311012021
115248277600
122476b24305
1312127199c9
1484b05a5b7
154c0c073eb
hex2ddcb22b5

12311012021 has 48 divisors (see below), whose sum is σ = 15694783104. Its totient is φ = 9451728000.

The previous prime is 12311011967. The next prime is 12311012029. The reversal of 12311012021 is 12021011321.

It is not a de Polignac number, because 12311012021 - 218 = 12310749877 is a prime.

It is a super-2 number, since 2×123110120212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12311011987 and 12311012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311012029) 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 47 ways as a sum of consecutive naturals, for example, 20082911 + ... + 20083523.

It is an arithmetic number, because the mean of its divisors is an integer number (326974648).

Almost surely, 212311012021 is an apocalyptic number.

12311012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311012021 is a deficient number, since it is larger than the sum of its proper divisors (3383771083).

12311012021 is a wasteful number, since it uses less digits than its factorization.

12311012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12311012021 its reverse (12021011321), we get a palindrome (24332023342).

The spelling of 12311012021 in words is "twelve billion, three hundred eleven million, twelve thousand, twenty-one".

Divisors: 1 7 11 77 121 131 181 613 847 917 1267 1441 1991 4291 6743 10087 13937 15851 21901 23711 47201 74173 80303 110953 110957 153307 165977 260821 519211 562121 776671 883333 1220483 1825747 2869031 6183331 8543381 9716663 13425313 14534843 20083217 68016641 93977191 101743901 159883273 1119182911 1758716003 12311012021