Search a number
-
+
10321321023 = 331337977587
BaseRepresentation
bin10011001110011001…
…01101110000111111
3222122022101102201000
421213030231300333
5132114224233043
64424101421343
7513525531636
oct114714556077
928568342630
1010321321023
114417131282
12200070a853
13c86441a60
146dcac651d
154061ce2d3
hex26732dc3f

10321321023 has 32 divisors (see below), whose sum is σ = 16510726400. Its totient is φ = 6334741728.

The previous prime is 10321320991. The next prime is 10321321033. The reversal of 10321321023 is 32012312301.

10321321023 is a `hidden beast` number, since 1 + 0 + 321 + 321 + 0 + 23 = 666.

It is not a de Polignac number, because 10321321023 - 25 = 10321320991 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10321320987 and 10321321005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321321033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94236 + ... + 171822.

It is an arithmetic number, because the mean of its divisors is an integer number (515960200).

Almost surely, 210321321023 is an apocalyptic number.

10321321023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10321321023 is a deficient number, since it is larger than the sum of its proper divisors (6189405377).

10321321023 is a wasteful number, since it uses less digits than its factorization.

10321321023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77988 (or 77982 counting only the distinct ones).

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

Adding to 10321321023 its reverse (32012312301), we get a palindrome (42333633324).

The spelling of 10321321023 in words is "ten billion, three hundred twenty-one million, three hundred twenty-one thousand, twenty-three".

Divisors: 1 3 9 13 27 39 117 351 379 1137 3411 4927 10233 14781 44343 77587 133029 232761 698283 1008631 2094849 3025893 9077679 27233037 29405473 88216419 264649257 382271149 793947771 1146813447 3440440341 10321321023