Search a number
-
+
20012133000 = 2335338317417
BaseRepresentation
bin10010101000110100…
…001110101010001000
31220122200100200121010
4102220310032222020
5311441101224000
613105441243520
71305630216036
oct225064165210
956580320533
1020012133000
11853a3667a2
123a660335a0
131b6c065322
14d7bb63556
157c1d65d50
hex4a8d0ea88

20012133000 has 128 divisors (see below), whose sum is σ = 62604472320. Its totient is φ = 5322329600.

The previous prime is 20012132989. The next prime is 20012133019. The reversal of 20012133000 is 33121002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140292 + ... + 1157708.

It is an arithmetic number, because the mean of its divisors is an integer number (489097440).

Almost surely, 220012133000 is an apocalyptic number.

20012133000 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 20012133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302236160).

20012133000 is an abundant number, since it is smaller than the sum of its proper divisors (42592339320).

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

20012133000 is a wasteful number, since it uses less digits than its factorization.

20012133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17824 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20012133000 its reverse (33121002), we get a palindrome (20045254002).

The spelling of 20012133000 in words is "twenty billion, twelve million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 383 500 600 750 766 1000 1149 1500 1532 1915 2298 3000 3064 3830 4596 5745 7660 9192 9575 11490 15320 17417 19150 22980 28725 34834 38300 45960 47875 52251 57450 69668 76600 87085 95750 104502 114900 139336 143625 174170 191500 209004 229800 261255 287250 348340 383000 418008 435425 522510 574500 696680 870850 1045020 1149000 1306275 1741700 2090040 2177125 2612550 3483400 4354250 5225100 6531375 6670711 8708500 10450200 13062750 13341422 17417000 20012133 26125500 26682844 33353555 40024266 52251000 53365688 66707110 80048532 100060665 133414220 160097064 166767775 200121330 266828440 333535550 400242660 500303325 667071100 800485320 833838875 1000606650 1334142200 1667677750 2001213300 2501516625 3335355500 4002426600 5003033250 6670711000 10006066500 20012133000