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12333131140 = 22511311808377
BaseRepresentation
bin10110111110001110…
…01010010110000100
31011211111221222100211
423133013022112010
5200224240144030
65355445445204
7614424612361
oct133707122604
934744858324
1012333131140
115259804a70
122482410804
131217192845
1484dd77468
154c2b2612a
hex2df1ca584

12333131140 has 48 divisors (see below), whose sum is σ = 29165520384. Its totient is φ = 4340102400.

The previous prime is 12333131131. The next prime is 12333131141. The reversal of 12333131140 is 4113133321.

12333131140 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 2×123331311402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12333131141) 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, 897369 + ... + 911008.

It is an arithmetic number, because the mean of its divisors is an integer number (607615008).

Almost surely, 212333131140 is an apocalyptic number.

12333131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333131140 is an abundant number, since it is smaller than the sum of its proper divisors (16832389244).

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

12333131140 is a wasteful number, since it uses less digits than its factorization.

12333131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808428 (or 1808426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12333131140 its reverse (4113133321), we get a palindrome (16446264461).

The spelling of 12333131140 in words is "twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 1808377 3616754 7233508 9041885 18083770 19892147 36167540 39784294 56059687 79568588 99460735 112119374 198921470 224238748 280298435 397842940 560596870 616656557 1121193740 1233313114 2466626228 3083282785 6166565570 12333131140