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12311040042 = 2337171915817
BaseRepresentation
bin10110111011100101…
…11001000000101010
31011202222101122002000
423131302321000222
5200203111240132
65353340151430
7614036054010
oct133562710052
934688348060
1012311040042
115248296664
122476b38576
1312127296a2
1484b0668b0
154c0c1087c
hex2ddcb902a

12311040042 has 64 divisors (see below), whose sum is σ = 33105335040. Its totient is φ = 3310530048.

The previous prime is 12311040023. The next prime is 12311040121. The reversal of 12311040042 is 24004011321.

12311040042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12311039997 and 12311040024.

It is an unprimeable number.

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, 951483 + ... + 964334.

It is an arithmetic number, because the mean of its divisors is an integer number (517270860).

Almost surely, 212311040042 is an apocalyptic number.

12311040042 is an abundant number, since it is smaller than the sum of its proper divisors (20794294998).

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

12311040042 is a wasteful number, since it uses less digits than its factorization.

12311040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915852 (or 1915846 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12311040042 its reverse (24004011321), we get a palindrome (36315051363).

The spelling of 12311040042 in words is "twelve billion, three hundred eleven million, forty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 1915817 3831634 5747451 11494902 13410719 17242353 26821438 32568889 34484706 40232157 51727059 65137778 80464314 97706667 103454118 120696471 195413334 227982223 241392942 293120001 362089413 455964446 586240002 683946669 724178826 879360003 1367893338 1758720006 2051840007 4103680014 6155520021 12311040042