Search a number
-
+
21030341200 = 245211371011279
BaseRepresentation
bin10011100101100000…
…011000101001010000
32000021122022000122221
4103211200120221100
5321032231404300
613354453110424
71343102644051
oct234540305120
960248260587
1021030341200
118a12096680
1240ab028414
131ca1ca919b
141037090728
1583144231a
hex4e5818a50

21030341200 has 240 divisors, whose sum is σ = 57213480960. Its totient is φ = 7361280000.

The previous prime is 21030341173. The next prime is 21030341207. The reversal of 21030341200 is 214303012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21030341207) 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 47 ways as a sum of consecutive naturals, for example, 16442161 + ... + 16443439.

It is an arithmetic number, because the mean of its divisors is an integer number (238389504).

Almost surely, 221030341200 is an apocalyptic number.

21030341200 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 21030341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28606740480).

21030341200 is an abundant number, since it is smaller than the sum of its proper divisors (36183139760).

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

21030341200 is a wasteful number, since it uses less digits than its factorization.

21030341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21030341200 its reverse (214303012), we get a palindrome (21244644212).

The spelling of 21030341200 in words is "twenty-one billion, thirty million, three hundred forty-one thousand, two hundred".