Search a number
-
+
10123881042 = 2311433567259
BaseRepresentation
bin10010110110110111…
…00010101001010010
3222010112212102222010
421123123202221102
5131213203143132
64352325523350
7505610366112
oct113333425122
928115772863
1010123881042
114325737740
121b66573556
13c54572a72
146c07ad042
153e3bcd6cc
hex25b6e2a52

10123881042 has 32 divisors (see below), whose sum is σ = 22602159360. Its totient is φ = 2996496720.

The previous prime is 10123881013. The next prime is 10123881049. The reversal of 10123881042 is 24018832101.

10123881042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10123881049) 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, 1780792 + ... + 1786467.

It is an arithmetic number, because the mean of its divisors is an integer number (706317480).

Almost surely, 210123881042 is an apocalyptic number.

10123881042 is an abundant number, since it is smaller than the sum of its proper divisors (12478278318).

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

10123881042 is a wasteful number, since it uses less digits than its factorization.

10123881042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567318.

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10123881042 in words is "ten billion, one hundred twenty-three million, eight hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 3567259 7134518 10701777 21403554 39239849 78479698 117719547 153392137 235439094 306784274 460176411 920352822 1687313507 3374627014 5061940521 10123881042