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10020413034 = 232556689613
BaseRepresentation
bin10010101010100001…
…10101111001101010
3221212100011201112200
421111100311321222
5131010211204114
64334152121030
7503213051112
oct112520657152
927770151480
1010020413034
114282297695
121b37996176
13c38cb68a8
146b0b58042
153d9a91409
hex255435e6a

10020413034 has 12 divisors (see below), whose sum is σ = 21710894946. Its totient is φ = 3340137672.

The previous prime is 10020413033. The next prime is 10020413047. The reversal of 10020413034 is 43031402001.

10020413034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9186647409 + 833765625 = 95847^2 + 28875^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 556689613 = 10020413034 / (1 + 0 + 0 + 2 + 0 + 4 + 1 + 3 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 10020412998 and 10020413016.

It is not an unprimeable number, because it can be changed into a prime (10020413033) 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 5 ways as a sum of consecutive naturals, for example, 278344789 + ... + 278344824.

Almost surely, 210020413034 is an apocalyptic number.

10020413034 is an abundant number, since it is smaller than the sum of its proper divisors (11690481912).

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

10020413034 is a wasteful number, since it uses less digits than its factorization.

10020413034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556689621 (or 556689618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10020413034 its reverse (43031402001), we get a palindrome (53051815035).

The spelling of 10020413034 in words is "ten billion, twenty million, four hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 556689613 1113379226 1670068839 3340137678 5010206517 10020413034