Search a number
-
+
10244341002 = 2372926213209
BaseRepresentation
bin10011000101001110…
…00011110100001010
3222102221112102222010
421202213003310022
5131440022403002
64412311440350
7511602314250
oct114247036412
928387472863
1010244341002
114387733025
121b9a9860b6
13c734cb14c
146d27a85d0
153ee57546c
hex2629c3d0a

10244341002 has 64 divisors (see below), whose sum is σ = 24239865600. Its totient is φ = 2824066560.

The previous prime is 10244341001. The next prime is 10244341033. The reversal of 10244341002 is 20014344201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10244341002.

It is not an unprimeable number, because it can be changed into a prime (10244341001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190774 + ... + 3193982.

It is an arithmetic number, because the mean of its divisors is an integer number (378747900).

Almost surely, 210244341002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244341002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119932800).

10244341002 is an abundant number, since it is smaller than the sum of its proper divisors (13995524598).

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

10244341002 is a wasteful number, since it uses less digits than its factorization.

10244341002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10244341002 its reverse (20014344201), we get a palindrome (30258685203).

The spelling of 10244341002 in words is "ten billion, two hundred forty-four million, three hundred forty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2621 3209 5242 6418 7863 9627 15726 18347 19254 22463 36694 44926 55041 67389 76009 93061 110082 134778 152018 186122 228027 279183 456054 532063 558366 651427 1064126 1302854 1596189 1954281 3192378 3908562 8410789 16821578 25232367 50464734 58875523 117751046 176626569 243912881 353253138 487825762 731738643 1463477286 1707390167 3414780334 5122170501 10244341002