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23011331300 = 22521921135641
BaseRepresentation
bin10101011011100101…
…010000110011100100
32012101200212202012122
4111123211100303210
5334111400100200
614323220405112
71443146042306
oct253345206344
965350782178
1023011331300
119839329881
124562546798
132229528989
1411841db976
158ea2ec385
hex55b950ce4

23011331300 has 108 divisors (see below), whose sum is σ = 53176854276. Its totient is φ = 8641382400.

The previous prime is 23011331267. The next prime is 23011331323. The reversal of 23011331300 is 313311032.

It can be written as a sum of positive squares in 6 ways, for example, as 378535936 + 22632795364 = 19456^2 + 150442^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4076480 + ... + 4082120.

Almost surely, 223011331300 is an apocalyptic number.

23011331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26588427138).

23011331300 is an abundant number, since it is smaller than the sum of its proper divisors (30165522976).

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

23011331300 is a wasteful number, since it uses less digits than its factorization.

23011331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 23011331300 its reverse (313311032), we get a palindrome (23324642332).

The spelling of 23011331300 in words is "twenty-three billion, eleven million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 113 190 226 361 380 452 475 565 722 950 1130 1444 1805 1900 2147 2260 2825 3610 4294 5641 5650 7220 8588 9025 10735 11282 11300 18050 21470 22564 28205 36100 40793 42940 53675 56410 81586 107179 107350 112820 141025 163172 203965 214358 214700 282050 407930 428716 535895 564100 637433 815860 1019825 1071790 1274866 2036401 2039650 2143580 2549732 2679475 3187165 4072802 4079300 5358950 6374330 8145604 10182005 10717900 12111227 12748660 15935825 20364010 24222454 31871650 40728020 48444908 50910025 60556135 63743300 101820050 121112270 203640100 230113313 242224540 302780675 460226626 605561350 920453252 1150566565 1211122700 2301133130 4602266260 5752832825 11505665650 23011331300