Search a number
-
+
21012365430 = 232571910911609
BaseRepresentation
bin10011100100011011…
…110100000001110110
32000020101110202112200
4103210123310001312
5321013131143210
613353011525330
71342464105420
oct234433640166
960211422480
1021012365430
118a02a29171
1240a4bb9846
131c9b354234
141034931810
1582ea910c0
hex4e46f4076

21012365430 has 192 divisors, whose sum is σ = 65824012800. Its totient is φ = 4543050240.

The previous prime is 21012365417. The next prime is 21012365441. The reversal of 21012365430 is 3456321012.

21012365430 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 3 + 654 + 3 + 0 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21012365394 and 21012365403.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13058466 + ... + 13060074.

It is an arithmetic number, because the mean of its divisors is an integer number (342833400).

Almost surely, 221012365430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012365430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32912006400).

21012365430 is an abundant number, since it is smaller than the sum of its proper divisors (44811647370).

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

21012365430 is a wasteful number, since it uses less digits than its factorization.

21012365430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21012365430 its reverse (3456321012), we get a palindrome (24468686442).

The spelling of 21012365430 in words is "twenty-one billion, twelve million, three hundred sixty-five thousand, four hundred thirty".