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10322304345 = 325541424001
BaseRepresentation
bin10011001110100000…
…11101110101011001
3222122101020101120100
421213100131311121
5132120002214340
64424134450013
7513540065523
oct114720356531
928571211510
1010322304345
114417743041
122000b03909
13c866c74c2
146dcca0a13
15406325830
hex26741dd59

10322304345 has 24 divisors (see below), whose sum is σ = 17925108552. Its totient is φ = 5495040000.

The previous prime is 10322304331. The next prime is 10322304347. The reversal of 10322304345 is 54340322301.

10322304345 is a `hidden beast` number, since 1 + 0 + 3 + 223 + 0 + 434 + 5 = 666.

10322304345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1228011849 + 9094292496 = 35043^2 + 95364^2 .

It is not a de Polignac number, because 10322304345 - 28 = 10322304089 is a prime.

It is a super-3 number, since 3×103223043453 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10322304347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187656 + ... + 236345.

It is an arithmetic number, because the mean of its divisors is an integer number (746879523).

Almost surely, 210322304345 is an apocalyptic number.

10322304345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10322304345 is a deficient number, since it is larger than the sum of its proper divisors (7602804207).

10322304345 is a wasteful number, since it uses less digits than its factorization.

10322304345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424553 (or 424550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10322304345 its reverse (54340322301), we get a palindrome (64662626646).

The spelling of 10322304345 in words is "ten billion, three hundred twenty-two million, three hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 541 1623 2705 4869 8115 24345 424001 1272003 2120005 3816009 6360015 19080045 229384541 688153623 1146922705 2064460869 3440768115 10322304345