Search a number
-
+
21123322200 = 233252193716693
BaseRepresentation
bin10011101011000011…
…000101000101011000
32000112010020221121200
4103223003011011120
5321230032302300
613412014034200
71345312163511
oct235303050530
960463227550
1021123322200
118a5a623682
1241161a8960
131cb8332c26
141045575a08
158396ac200
hex4eb0c5158

21123322200 has 288 divisors, whose sum is σ = 76695574800. Its totient is φ = 5191879680.

The previous prime is 21123322111. The next prime is 21123322217. The reversal of 21123322200 is 222332112.

21123322200 is a `hidden beast` number, since 2 + 112 + 332 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1257054 + ... + 1273746.

Almost surely, 221123322200 is an apocalyptic number.

21123322200 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 21123322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38347787400).

21123322200 is an abundant number, since it is smaller than the sum of its proper divisors (55572252600).

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

21123322200 is a wasteful number, since it uses less digits than its factorization.

21123322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16771 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21123322200 its reverse (222332112), we get a palindrome (21345654312).

The spelling of 21123322200 in words is "twenty-one billion, one hundred twenty-three million, three hundred twenty-two thousand, two hundred".