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21065143011000 = 23353112211275027
BaseRepresentation
bin1001100101000100111000…
…10111011100011010111000
32202120210211000221202122220
410302202130113130122320
510230112403102323000
6112445105413244040
74302622611153534
oct462423427343270
982523730852586
1021065143011000
11679174a076300
122442695933620
13b9a58568b01a
1452b7b6204bc4
15267e456051a0
hex13289c5dc6b8

21065143011000 has 384 divisors, whose sum is σ = 72583893607680. Its totient is φ = 5082480480000.

The previous prime is 21065143010983. The next prime is 21065143011013. The reversal of 21065143011000 is 11034156012.

It is a happy number.

It is a super-2 number, since 2×210651430110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 76455487 + ... + 76730513.

It is an arithmetic number, because the mean of its divisors is an integer number (189020556270).

Almost surely, 221065143011000 is an apocalyptic number.

21065143011000 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 21065143011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36291946803840).

21065143011000 is an abundant number, since it is smaller than the sum of its proper divisors (51518750596680).

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

21065143011000 is a wasteful number, since it uses less digits than its factorization.

21065143011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275284 (or 275259 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 21065143011000 its reverse (11034156012), we get a palindrome (21076177167012).

The spelling of 21065143011000 in words is "twenty-one trillion, sixty-five billion, one hundred forty-three million, eleven thousand".