Search a number
-
+
21533143303000 = 2353715754136217
BaseRepresentation
bin1001110010101100100110…
…10110111000001101011000
32211020112210210001212212001
410321112103112320031120
510310244334141144000
6113444104531530344
74351501236046660
oct471262326701530
984215723055761
1021533143303000
11695217803252a
1224b93261599b4
13c0274a06c524
145462d159d1a0
152751d6ca846a
hex1395935b8358

21533143303000 has 256 divisors, whose sum is σ = 58061290210560. Its totient is φ = 7322006016000.

The previous prime is 21533143302971. The next prime is 21533143303031. The reversal of 21533143303000 is 30334133512.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21533143303000.

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, 594540892 + ... + 594577108.

It is an arithmetic number, because the mean of its divisors is an integer number (226801914885).

Almost surely, 221533143303000 is an apocalyptic number.

21533143303000 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 21533143303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030645105280).

21533143303000 is an abundant number, since it is smaller than the sum of its proper divisors (36528146907560).

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

21533143303000 is a wasteful number, since it uses less digits than its factorization.

21533143303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36943 (or 36929 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 21533143303000 its reverse (30334133512), we get a palindrome (21563477436512).

The spelling of 21533143303000 in words is "twenty-one trillion, five hundred thirty-three billion, one hundred forty-three million, three hundred three thousand".