Search a number
-
+
23113031022 = 23630751637
BaseRepresentation
bin10101100001101001…
…001101110101101110
32012122210020122000000
4111201221031311232
5334313413443042
614341252245130
71445522344044
oct254151156556
965583218000
1023113031022
119890781334
1245906107a6
132244616023
141193912394
159041da74c
hex561a4dd6e

23113031022 has 56 divisors (see below), whose sum is σ = 52150868616. Its totient is φ = 7679099376.

The previous prime is 23113030987. The next prime is 23113031041. The reversal of 23113031022 is 22013031132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23113030986 and 23113031004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 421788 + ... + 473424.

It is an arithmetic number, because the mean of its divisors is an integer number (931265511).

Almost surely, 223113031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23113031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075434308).

23113031022 is an abundant number, since it is smaller than the sum of its proper divisors (29037837594).

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

23113031022 is an equidigital number, since it uses as much as digits as its factorization.

23113031022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51964 (or 51949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23113031022 its reverse (22013031132), we get a palindrome (45126062154).

It can be divided in two parts, 2311303 and 1022, that added together give a triangular number (2312325 = T2150).

The spelling of 23113031022 in words is "twenty-three billion, one hundred thirteen million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 307 486 614 729 921 1458 1842 2763 5526 8289 16578 24867 49734 51637 74601 103274 149202 154911 223803 309822 447606 464733 929466 1394199 2788398 4182597 8365194 12547791 15852559 25095582 31705118 37643373 47557677 75286746 95115354 142673031 285346062 428019093 856038186 1284057279 2568114558 3852171837 7704343674 11556515511 23113031022