Search a number
-
+
23311022112 = 2532752322109
BaseRepresentation
bin10101101101011100…
…011111100000100000
32020011120210121201100
4111231130133200200
5340220110201422
614413044034400
71453445263410
oct255534374040
966146717640
1023311022112
119982511a34
124626992a00
132276648b11
1411b1d30640
159167997ac
hex56d71f820

23311022112 has 144 divisors (see below), whose sum is σ = 75909113280. Its totient is φ = 6647256576.

The previous prime is 23311022107. The next prime is 23311022113. The reversal of 23311022112 is 21122011332.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (23311022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043314 + ... + 1065422.

It is an arithmetic number, because the mean of its divisors is an integer number (527146620).

Almost surely, 223311022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23311022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954556640).

23311022112 is an abundant number, since it is smaller than the sum of its proper divisors (52598091168).

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

23311022112 is a wasteful number, since it uses less digits than its factorization.

23311022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22655 (or 22644 counting only the distinct ones).

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

Adding to 23311022112 its reverse (21122011332), we get a palindrome (44433033444).

The spelling of 23311022112 in words is "twenty-three billion, three hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 523 672 1008 1046 1569 2016 2092 3138 3661 4184 4707 6276 7322 8368 9414 10983 12552 14644 16736 18828 21966 22109 25104 29288 32949 37656 43932 44218 50208 58576 65898 66327 75312 87864 88436 117152 131796 132654 150624 154763 175728 176872 198981 263592 265308 309526 351456 353744 397962 464289 527184 530616 619052 707488 795924 928578 1054368 1061232 1238104 1392867 1591848 1857156 2122464 2476208 2785734 3183696 3714312 4952416 5571468 6367392 7428624 11142936 11563007 14857248 22285872 23126014 34689021 44571744 46252028 69378042 80941049 92504056 104067063 138756084 161882098 185008112 208134126 242823147 277512168 323764196 370016224 416268252 485646294 555024336 647528392 728469441 832536504 971292588 1110048672 1295056784 1456938882 1665073008 1942585176 2590113568 2913877764 3330146016 3885170352 5827755528 7770340704 11655511056 23311022112