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21133202200 = 235211193147347
BaseRepresentation
bin10011101011101000…
…110001001100011000
32000112210211220102121
4103223220301030120
5321240044432300
613413005511024
71345462153255
oct235350611430
960483756377
1021133202200
118a65161670
124119572474
131cba3b1c96
1410469c842c
1583a4ae81a
hex4eba31318

21133202200 has 384 divisors, whose sum is σ = 59653324800. Its totient is φ = 6875712000.

The previous prime is 21133202183. The next prime is 21133202227. The reversal of 21133202200 is 220233112.

It is a super-2 number, since 2×211332022002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60902427 + ... + 60902773.

It is an arithmetic number, because the mean of its divisors is an integer number (155347200).

Almost surely, 221133202200 is an apocalyptic number.

21133202200 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 21133202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29826662400).

21133202200 is an abundant number, since it is smaller than the sum of its proper divisors (38520122600).

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

21133202200 is a wasteful number, since it uses less digits than its factorization.

21133202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

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

Adding to 21133202200 its reverse (220233112), we get a palindrome (21353435312).

The spelling of 21133202200 in words is "twenty-one billion, one hundred thirty-three million, two hundred two thousand, two hundred".