Search a number
-
+
10013212242 = 232112313191667
BaseRepresentation
bin10010101001101010…
…10111111001010010
3221211211121212220200
421110311113321102
5131001340242432
64333333520030
7503064620415
oct112465277122
927754555820
1010013212242
114279219620
121b354a3016
13c37665177
146adc01b7c
153d911ca7c
hex254d57e52

10013212242 has 96 divisors (see below), whose sum is σ = 24730168320. Its totient is φ = 2898440160.

The previous prime is 10013212193. The next prime is 10013212271. The reversal of 10013212242 is 24221231001.

It is a happy number.

10013212242 is a `hidden beast` number, since 100 + 1 + 321 + 2 + 242 = 666.

10013212242 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005893 + ... + 6007559.

It is an arithmetic number, because the mean of its divisors is an integer number (257605920).

Almost surely, 210013212242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013212242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365084160).

10013212242 is an abundant number, since it is smaller than the sum of its proper divisors (14716956078).

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

10013212242 is a wasteful number, since it uses less digits than its factorization.

10013212242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3025 counting only the distinct ones).

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

Adding to 10013212242 its reverse (24221231001), we get a palindrome (34234443243).

The spelling of 10013212242 in words is "ten billion, thirteen million, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1319 1518 1667 2277 2638 3334 3957 4554 5001 7914 10002 11871 14509 15003 18337 23742 29018 30006 30337 36674 38341 43527 55011 60674 76682 87054 91011 110022 115023 130581 165033 182022 230046 261162 273033 330066 333707 345069 421751 546066 667414 690138 843502 1001121 1265253 2002242 2198773 2530506 3003363 3795759 4397546 6006726 6596319 7591518 13192638 19788957 24186503 39577914 48373006 50571779 72559509 101143558 145119018 151715337 217678527 303430674 435357054 455146011 556289569 910292022 1112579138 1668868707 3337737414 5006606121 10013212242