Search a number
-
+
10042100412 = 223886194441
BaseRepresentation
bin10010101101000111…
…00100101010111100
3221220211222120000220
421112203210222330
5131031234203122
64340245021340
7503565305451
oct112643445274
927824876026
1010042100412
11429355a743
121b430b4850
13c4063b066
146b39a1828
153db92725c
hex2568e4abc

10042100412 has 24 divisors (see below), whose sum is σ = 23434460112. Its totient is φ = 3346953600.

The previous prime is 10042100407. The next prime is 10042100441. The reversal of 10042100412 is 21400124001.

10042100412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10042100391 and 10042100400.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 59112 + ... + 153552.

It is an arithmetic number, because the mean of its divisors is an integer number (976435838).

Almost surely, 210042100412 is an apocalyptic number.

10042100412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042100412 is an abundant number, since it is smaller than the sum of its proper divisors (13392359700).

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

10042100412 is a wasteful number, since it uses less digits than its factorization.

10042100412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103309 (or 103307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10042100412 its reverse (21400124001), we get a palindrome (31442224413).

The spelling of 10042100412 in words is "ten billion, forty-two million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 8861 17722 26583 35444 53166 94441 106332 188882 283323 377764 566646 1133292 836841701 1673683402 2510525103 3347366804 5021050206 10042100412