Search a number
-
+
1010322340110 = 23451663750037
BaseRepresentation
bin11101011001110111110…
…01110111100100001110
310120120211002201122010000
432230323321313210032
5113023120004340420
62052045150025130
7132664505124036
oct16547371674416
93516732648100
101010322340110
1135a525692896
12143982aa81a6
13743719a63b5
1436c853168c6
151b432a97690
hexeb3be7790e

1010322340110 has 80 divisors (see below), whose sum is σ = 2718281719296. Its totient is φ = 269256923712.

The previous prime is 1010322340103. The next prime is 1010322340151. The reversal of 1010322340110 is 110432230101.

1010322340110 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 322 + 340 + 1 + 1 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 972012 + ... + 1722048.

Almost surely, 21010322340110 is an apocalyptic number.

1010322340110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010322340110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359140859648).

1010322340110 is an abundant number, since it is smaller than the sum of its proper divisors (1707959379186).

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

1010322340110 is a wasteful number, since it uses less digits than its factorization.

1010322340110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751719 (or 751710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010322340110 its reverse (110432230101), we get a palindrome (1120754570211).

The spelling of 1010322340110 in words is "one trillion, ten billion, three hundred twenty-two million, three hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1663 3326 4989 8315 9978 14967 16630 24945 29934 44901 49890 74835 89802 134703 149670 224505 269406 449010 673515 750037 1347030 1500074 2250111 3750185 4500222 6750333 7500370 11250555 13500666 20250999 22501110 33751665 40501998 60752997 67503330 101254995 121505994 202509990 303764985 607529970 1247311531 2494623062 3741934593 6236557655 7483869186 11225803779 12473115310 18709672965 22451607558 33677411337 37419345930 56129018895 67354822674 101032234011 112258037790 168387056685 202064468022 336774113370 505161170055 1010322340110