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10013201442 = 2323763123827
BaseRepresentation
bin10010101001101010…
…10101010000100010
3221211211121100002200
421110311111100202
5131001334421232
64333333354030
7503064544056
oct112465252042
927754540080
1010013201442
1142792114a2
121b35498916
13c3766028a
146adbdbc66
153d911977c
hex254d55422

10013201442 has 48 divisors (see below), whose sum is σ = 22317876672. Its totient is φ = 3242242080.

The previous prime is 10013201413. The next prime is 10013201449. The reversal of 10013201442 is 24410231001.

10013201442 is a `hidden beast` number, since 10 + 0 + 13 + 201 + 442 = 666.

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 (10013201449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408333 + ... + 432159.

It is an arithmetic number, because the mean of its divisors is an integer number (464955764).

Almost surely, 210013201442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158938336).

10013201442 is an abundant number, since it is smaller than the sum of its proper divisors (12304675230).

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

10013201442 is a wasteful number, since it uses less digits than its factorization.

10013201442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24503 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10013201442 its reverse (24410231001), we get a palindrome (34423432443).

The spelling of 10013201442 in words is "ten billion, thirteen million, two hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 631 666 1262 1893 3786 5679 11358 23347 23827 46694 47654 70041 71481 140082 142962 210123 214443 420246 428886 881599 1763198 2644797 5289594 7934391 15034837 15868782 30069674 45104511 90209022 135313533 270627066 556288969 1112577938 1668866907 3337733814 5006600721 10013201442