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10042104412 = 22314711811459
BaseRepresentation
bin10010101101000111…
…00101101001011100
3221220211222202112001
421112203211221130
5131031234320122
64340245052044
7503565323224
oct112643455134
927824882461
1010042104412
11429356274a
121b430b7024
13c4063cb22
146b39a3084
153db928527
hex2568e5a5c

10042104412 has 48 divisors (see below), whose sum is σ = 18554941440. Its totient is φ = 4748414400.

The previous prime is 10042104407. The next prime is 10042104419. The reversal of 10042104412 is 21440124001.

10042104412 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 2×100421044122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10042104412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042104419) 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, 6882139 + ... + 6883597.

It is an arithmetic number, because the mean of its divisors is an integer number (386561280).

Almost surely, 210042104412 is an apocalyptic number.

It is an amenable number.

10042104412 is a deficient number, since it is larger than the sum of its proper divisors (8512837028).

10042104412 is a wasteful number, since it uses less digits than its factorization.

10042104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10042104412 its reverse (21440124001), we get a palindrome (31482228413).

The spelling of 10042104412 in words is "ten billion, forty-two million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 4 31 47 62 94 124 188 1181 1457 1459 2362 2914 2918 4724 5828 5836 36611 45229 55507 68573 73222 90458 111014 137146 146444 180916 222028 274292 1720717 1723079 2125763 3441434 3446158 4251526 6882868 6892316 8503052 53415449 80984713 106830898 161969426 213661796 323938852 2510526103 5021052206 10042104412