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10001323323 = 323170151137
BaseRepresentation
bin10010101000010000…
…00001010100111011
3221211000020212101100
421110020001110323
5130440314321243
64332231022443
7502561563015
oct112410012473
927730225340
1010001323323
114272539272
121b3150aa23
13c350618c4
146ac3c91b5
153d80700d3
hex25420153b

10001323323 has 24 divisors (see below), whose sum is σ = 14933932416. Its totient is φ = 6443136000.

The previous prime is 10001323309. The next prime is 10001323327. The reversal of 10001323323 is 32332310001.

It is not a de Polignac number, because 10001323323 - 24 = 10001323307 is a prime.

It is a super-2 number, since 2×100013233232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001323296 and 10001323305.

It is not an unprimeable number, because it can be changed into a prime (10001323327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170011 + ... + 221147.

It is an arithmetic number, because the mean of its divisors is an integer number (622247184).

Almost surely, 210001323323 is an apocalyptic number.

10001323323 is a deficient number, since it is larger than the sum of its proper divisors (4932609093).

10001323323 is a wasteful number, since it uses less digits than its factorization.

10001323323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51875 (or 51872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10001323323 its reverse (32332310001), we get a palindrome (42333633324).

It can be divided in two parts, 10001 and 323323, that multiplied together give a palindrome (3233553323).

The spelling of 10001323323 in words is "ten billion, one million, three hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 31 93 279 701 2103 6309 21731 51137 65193 153411 195579 460233 1585247 4755741 14267223 35847037 107541111 322623333 1111258147 3333774441 10001323323