Search a number
-
+
21303101000 = 2353112918869
BaseRepresentation
bin10011110101110000…
…111000011001001000
32000222122112122202202
4103311300320121020
5322112043213000
613441515215332
71352624241116
oct236560703110
960878478682
1021303101000
1190420550a5
124166447548
13201665a20c
1410613b2ab6
1584a36edd5
hex4f5c38648

21303101000 has 64 divisors (see below), whose sum is σ = 49896054000. Its totient is φ = 8513241600.

The previous prime is 21303100967. The next prime is 21303101011. The reversal of 21303101000 is 10130312.

It can be written as a sum of positive squares in 8 ways, for example, as 1353798436 + 19949302564 = 36794^2 + 141242^2 .

It is a super-2 number, since 2×213031010002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119566 + ... + 1138434.

Almost surely, 221303101000 is an apocalyptic number.

21303101000 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 21303101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948027000).

21303101000 is an abundant number, since it is smaller than the sum of its proper divisors (28592953000).

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

21303101000 is a wasteful number, since it uses less digits than its factorization.

21303101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20019 (or 20005 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 21303101000 its reverse (10130312), we get a palindrome (21313231312).

The spelling of 21303101000 in words is "twenty-one billion, three hundred three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1129 2258 4516 5645 9032 11290 18869 22580 28225 37738 45160 56450 75476 94345 112900 141125 150952 188690 225800 282250 377380 471725 564500 754760 943450 1129000 1886900 2358625 3773800 4717250 9434500 18869000 21303101 42606202 85212404 106515505 170424808 213031010 426062020 532577525 852124040 1065155050 2130310100 2662887625 4260620200 5325775250 10651550500 21303101000