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12311012144 = 2431435310891
BaseRepresentation
bin10110111011100101…
…10010001100110000
31011202222100012210202
423131302302030300
5200203104342034
65353335414332
7614035606454
oct133562621460
934688305722
1012311012144
115248277702
122476b243a8
131212719a92
1484b05a664
154c0c0747e
hex2ddcb2330

12311012144 has 80 divisors (see below), whose sum is σ = 25672356864. Its totient is φ = 5708102400.

The previous prime is 12311012143. The next prime is 12311012159. The reversal of 12311012144 is 44121011321.

12311012144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123110121442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12311012141) 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 15 ways as a sum of consecutive naturals, for example, 1124939 + ... + 1135829.

Almost surely, 212311012144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12836178432).

12311012144 is an abundant number, since it is smaller than the sum of its proper divisors (13361344720).

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

12311012144 is a wasteful number, since it uses less digits than its factorization.

12311012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12311012144 its reverse (44121011321), we get a palindrome (56432023465).

The spelling of 12311012144 in words is "twelve billion, three hundred eleven million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 43 53 62 86 106 124 172 212 248 344 424 496 688 848 1333 1643 2279 2666 3286 4558 5332 6572 9116 10664 10891 13144 18232 21328 21782 26288 36464 43564 70649 87128 141298 174256 282596 337621 468313 565192 577223 675242 936626 1130384 1154446 1350484 1873252 2308892 2700968 3746504 4617784 5401936 7493008 9235568 14517703 17893913 24820589 29035406 35787826 49641178 58070812 71575652 99282356 116141624 143151304 198564712 232283248 286302608 397129424 769438259 1538876518 3077753036 6155506072 12311012144