Search a number
-
+
12023113000 = 235337324949
BaseRepresentation
bin10110011001010001…
…00010010100101000
31011000220121102102111
423030220202110220
5144110404104000
65305013012104
7603641526403
oct131450422450
934026542374
1012023113000
11510a808828
1223b6624034
131197b97b62
14820b16d3a
154a57d8cba
hex2cca22528

12023113000 has 64 divisors (see below), whose sum is σ = 28894554000. Its totient is φ = 4679251200.

The previous prime is 12023112977. The next prime is 12023113007. The reversal of 12023113000 is 31132021.

It can be written as a sum of positive squares in 8 ways, for example, as 6040709284 + 5982403716 = 77722^2 + 77346^2 .

It is not an unprimeable number, because it can be changed into a prime (12023113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125475 + ... + 199474.

Almost surely, 212023113000 is an apocalyptic number.

12023113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023113000 is an abundant number, since it is smaller than the sum of its proper divisors (16871441000).

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

12023113000 is a wasteful number, since it uses less digits than its factorization.

12023113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325007 (or 324993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12023113000 its reverse (31132021), we get a palindrome (12054245021).

The spelling of 12023113000 in words is "twelve billion, twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 324949 649898 1299796 1624745 2599592 3249490 6498980 8123725 12023113 12997960 16247450 24046226 32494900 40618625 48092452 60115565 64989800 81237250 96184904 120231130 162474500 240462260 300577825 324949000 480924520 601155650 1202311300 1502889125 2404622600 3005778250 6011556500 12023113000