Search a number
-
+
21233231300 = 22526719716087
BaseRepresentation
bin10011110001100110…
…010110010111000100
32000210210001220120002
4103301212112113010
5321441201400200
613430541500432
71351115326301
oct236146262704
960723056502
1021233231300
119006672a46
124146b71718
132005035ab8
141055dc60a8
1584416cbd5
hex4f19965c4

21233231300 has 72 divisors (see below), whose sum is σ = 47004116544. Its totient is φ = 8323539840.

The previous prime is 21233231237. The next prime is 21233231309. The reversal of 21233231300 is 313233212.

It is a super-2 number, since 2×212332313002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21233231309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1311857 + ... + 1327943.

It is an arithmetic number, because the mean of its divisors is an integer number (652834952).

Almost surely, 221233231300 is an apocalyptic number.

21233231300 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 21233231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502058272).

21233231300 is an abundant number, since it is smaller than the sum of its proper divisors (25770885244).

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

21233231300 is a wasteful number, since it uses less digits than its factorization.

21233231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16365 (or 16358 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21233231300 its reverse (313233212), we get a palindrome (21546464512).

The spelling of 21233231300 in words is "twenty-one billion, two hundred thirty-three million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 197 268 335 394 670 788 985 1340 1675 1970 3350 3940 4925 6700 9850 13199 16087 19700 26398 32174 52796 64348 65995 80435 131990 160870 263980 321740 329975 402175 659950 804350 1077829 1319900 1608700 2155658 3169139 4311316 5389145 6338278 10778290 12676556 15845695 21556580 26945725 31691390 53891450 63382780 79228475 107782900 158456950 212332313 316913900 424664626 849329252 1061661565 2123323130 4246646260 5308307825 10616615650 21233231300