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21054322114000 = 245374344977893
BaseRepresentation
bin1001100100110000101110…
…11000111111110111010000
32202112202212220112020112221
410302120113120333313100
510224423222430122000
6112440115544030424
74302060505102060
oct462302730776720
982482786466487
1021054322114000
1167880a6a4821a
122440575a62414
13b9954c8b21a6
1452b06b0373a0
15267a1064361a
hex13261763fdd0

21054322114000 has 320 divisors, whose sum is σ = 59668548825600. Its totient is φ = 7034956185600.

The previous prime is 21054322113917. The next prime is 21054322114019. The reversal of 21054322114000 is 41122345012.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270259054 + ... + 270336946.

It is an arithmetic number, because the mean of its divisors is an integer number (186464215080).

Almost surely, 221054322114000 is an apocalyptic number.

21054322114000 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 21054322114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29834274412800).

21054322114000 is an abundant number, since it is smaller than the sum of its proper divisors (38614226711600).

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

21054322114000 is a wasteful number, since it uses less digits than its factorization.

21054322114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78415 (or 78399 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21054322114000 its reverse (41122345012), we get a palindrome (21095444459012).

The spelling of 21054322114000 in words is "twenty-one trillion, fifty-four billion, three hundred twenty-two million, one hundred fourteen thousand".