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10233130323 = 3132149135461
BaseRepresentation
bin10011000011111000…
…10010110101010011
3222102011102212210210
421201330102311103
5131424140132243
64411231255203
7511405113123
oct114174226523
928364385723
1010233130323
1143813762a9
121b9707a503
13c710a4500
146d10cac83
153ed5ad933
hex261f12d53

10233130323 has 24 divisors (see below), whose sum is σ = 14873727600. Its totient is φ = 6255000960.

The previous prime is 10233130309. The next prime is 10233130337. The reversal of 10233130323 is 32303133201.

10233130323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10233130309) and next prime (10233130337).

It is not a de Polignac number, because 10233130323 - 217 = 10232999251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10233130323.

It is not an unprimeable number, because it can be changed into a prime (10233130723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7813 + ... + 143273.

It is an arithmetic number, because the mean of its divisors is an integer number (619738650).

Almost surely, 210233130323 is an apocalyptic number.

10233130323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10233130323 is a deficient number, since it is larger than the sum of its proper divisors (4640597277).

10233130323 is a wasteful number, since it uses less digits than its factorization.

10233130323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135639 (or 135626 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10233130323 its reverse (32303133201), we get a palindrome (42536263524).

The spelling of 10233130323 in words is "ten billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty-three".

Divisors: 1 3 13 39 149 169 447 507 1937 5811 25181 75543 135461 406383 1760993 5282979 20183689 22892909 60551067 68678727 262387957 787163871 3411043441 10233130323