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10023020013321 = 327533001802939
BaseRepresentation
bin1001000111011010101010…
…0011000010011100001001
31022111012011111110002112100
42101312222203002130021
52303204121110411241
633152302315504013
72053065531256620
oct221665243023411
938435144402470
1010023020013321
113214814552817
12115a641158009
13579222403b93
1426918c54a6b7
15125ac5da79b6
hex91daa8c2709

10023020013321 has 24 divisors (see below), whose sum is σ = 16858125311040. Its totient is φ = 5619375099936.

The previous prime is 10023020013287. The next prime is 10023020013329. The reversal of 10023020013321 is 12331002032001.

10023020013321 is a `hidden beast` number, since 100 + 2 + 30 + 200 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 10023020013321 - 215 = 10023019980553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023020013294 and 10023020013303.

It is not an unprimeable number, because it can be changed into a prime (10023020013329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500898131 + ... + 1500904808.

It is an arithmetic number, because the mean of its divisors is an integer number (702421887960).

Almost surely, 210023020013321 is an apocalyptic number.

It is an amenable number.

10023020013321 is a deficient number, since it is larger than the sum of its proper divisors (6835105297719).

10023020013321 is a wasteful number, since it uses less digits than its factorization.

10023020013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001803005 (or 3001803002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023020013321 its reverse (12331002032001), we get a palindrome (22354022045322).

The spelling of 10023020013321 in words is "ten trillion, twenty-three billion, twenty million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339 3001802939 9005408817 21012620573 27016226451 63037861719 159095555767 189113585157 477286667301 1113668890369 1431860001903 3341006671107 10023020013321