Search a number
-
+
1010441026122 = 2311219529713829
BaseRepresentation
bin11101011010000101111…
…10100111101001001010
310120121010101001111201020
432231002332213221022
5113023340400313442
62052105025533310
7133000446003303
oct16550276475112
93517111044636
101010441026122
1135a586687400
121439b67a4236
13743904601c8
1436c96dad7aa
151b43d1dd9ec
hexeb42fa7a4a

1010441026122 has 96 divisors (see below), whose sum is σ = 2338821172800. Its totient is φ = 290003028480.

The previous prime is 1010441026117. The next prime is 1010441026159. The reversal of 1010441026122 is 2216201440101.

It is a junction number, because it is equal to n+sod(n) for n = 1010441026092 and 1010441026101.

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, 73059904 + ... + 73073732.

It is an arithmetic number, because the mean of its divisors is an integer number (24362720550).

Almost surely, 21010441026122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010441026122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169410586400).

1010441026122 is an abundant number, since it is smaller than the sum of its proper divisors (1328380146678).

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

1010441026122 is a wasteful number, since it uses less digits than its factorization.

1010441026122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19172 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1010441026122 its reverse (2216201440101), we get a palindrome (3226642466223).

The spelling of 1010441026122 in words is "one trillion, ten billion, four hundred forty-one million, twenty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 5297 6897 10594 13794 13829 15891 27658 31782 41487 58267 82974 100643 116534 152119 174801 201286 262751 301929 304238 349602 456357 525502 603858 640937 788253 912714 1107073 1281874 1576506 1673309 1922811 2214146 2890261 3321219 3346618 3845622 5019927 5780522 6642438 8670783 10039854 12177803 17341566 24355606 31792871 36533409 63585742 73066818 73252213 95378613 146504426 190757226 219756639 439513278 805774343 1391792047 1611548686 2417323029 2783584094 4175376141 4834646058 8350752282 8863517773 15309712517 17727035546 26590553319 30619425034 45929137551 53181106638 91858275102 168406837687 336813675374 505220513061 1010441026122