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21133200000 = 27355111601
BaseRepresentation
bin10011101011101000…
…110000101010000000
32000112210211210102010
4103223220300222000
5321240044400000
613413005452520
71345462143663
oct235350605200
960483753363
1021133200000
118a6515aa50
124119571140
131cba3b0c93
1410469c76da
1583a4add50
hex4eba30a80

21133200000 has 384 divisors, whose sum is σ = 76590722880. Its totient is φ = 5120000000.

The previous prime is 21133199909. The next prime is 21133200001. The reversal of 21133200000 is 233112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×211332000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21133200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199200 + ... + 13200800.

Almost surely, 221133200000 is an apocalyptic number.

21133200000 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 21133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38295361440).

21133200000 is an abundant number, since it is smaller than the sum of its proper divisors (55457522880).

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

21133200000 is an equidigital number, since it uses as much as digits as its factorization.

21133200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21133200000 its reverse (233112), we get a palindrome (21133433112).

The spelling of 21133200000 in words is "twenty-one billion, one hundred thirty-three million, two hundred thousand".