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20232130011000 = 2335316341374499
BaseRepresentation
bin1001001100110101010001…
…11011000001111101111000
32122122011122221000212022120
410212122220323001331320
510122440400240323000
6111010302345521240
74155503020404225
oct446325073017570
978564587025276
1020232130011000
1164a0441a39036
1223291574a3220
13b39b60062b2b
144dd35160694c
1525143de286a0
hex1266a8ec1f78

20232130011000 has 128 divisors (see below), whose sum is σ = 63511512480000. Its totient is φ = 5362134940800.

The previous prime is 20232130010969. The next prime is 20232130011007. The reversal of 20232130011000 is 11003123202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232130011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20198250 + ... + 21176249.

It is an arithmetic number, because the mean of its divisors is an integer number (496183691250).

Almost surely, 220232130011000 is an apocalyptic number.

20232130011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232130011000 is an abundant number, since it is smaller than the sum of its proper divisors (43279382469000).

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

20232130011000 is a wasteful number, since it uses less digits than its factorization.

20232130011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41374686 (or 41374672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20232130011000 its reverse (11003123202), we get a palindrome (20243133134202).

The spelling of 20232130011000 in words is "twenty trillion, two hundred thirty-two billion, one hundred thirty million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 163 200 250 300 326 375 489 500 600 652 750 815 978 1000 1304 1500 1630 1956 2445 3000 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 20375 24450 32600 40750 48900 61125 81500 97800 122250 163000 244500 489000 41374499 82748998 124123497 165497996 206872495 248246994 330995992 413744990 496493988 620617485 827489980 992987976 1034362475 1241234970 1654979960 2068724950 2482469940 3103087425 4137449900 4964939880 5171812375 6206174850 6744043337 8274899800 10343624750 12412349700 13488086674 15515437125 20232130011 20687249500 24824699400 26976173348 31030874250 33720216685 40464260022 41374499000 53952346696 62061748500 67440433370 80928520044 101160650055 124123497000 134880866740 161857040088 168601083425 202321300110 269761733480 337202166850 404642600220 505803250275 674404333700 809285200440 843005417125 1011606500550 1348808667400 1686010834250 2023213001100 2529016251375 3372021668500 4046426002200 5058032502750 6744043337000 10116065005500 20232130011000