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12142104210 = 23251093123433
BaseRepresentation
bin10110100111011100…
…11100111010010010
31011100012111210200100
423103232130322102
5144331334313320
65324503233230
7606615116505
oct132356347222
934305453610
1012142104210
1151709a0675
12242a448816
1311b672a862
1483284d13c
154b0e90790
hex2d3b9ce92

12142104210 has 48 divisors (see below), whose sum is σ = 31598610264. Its totient is φ = 3234905856.

The previous prime is 12142104209. The next prime is 12142104217. The reversal of 12142104210 is 1240124121.

It can be written as a sum of positive squares in 4 ways, for example, as 12093620841 + 48483369 = 109971^2 + 6963^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12142104217) 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 23 ways as a sum of consecutive naturals, for example, 36654 + ... + 160086.

Almost surely, 212142104210 is an apocalyptic number.

12142104210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12142104210 is an abundant number, since it is smaller than the sum of its proper divisors (19456506054).

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

12142104210 is a wasteful number, since it uses less digits than its factorization.

12142104210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124539 (or 124536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12142104210 its reverse (1240124121), we get a palindrome (13382228331).

The spelling of 12142104210 in words is "twelve billion, one hundred forty-two million, one hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1093 2186 3279 5465 6558 9837 10930 16395 19674 32790 49185 98370 123433 246866 370299 617165 740598 1110897 1234330 1851495 2221794 3702990 5554485 11108970 134912269 269824538 404736807 674561345 809473614 1214210421 1349122690 2023684035 2428420842 4047368070 6071052105 12142104210