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23151201345 = 3253793135637
BaseRepresentation
bin10101100011111010…
…110100110001000001
32012202110001212211200
4111203322310301001
5334403201420340
614345134331413
71446464651556
oct254372646101
965673055750
1023151201345
119900282258
1245a1359b69
13224c4bbb0c
141198a0aa2d
1590772a330
hex563eb4c41

23151201345 has 24 divisors (see below), whose sum is σ = 40139624616. Its totient is φ = 12343961088.

The previous prime is 23151201211. The next prime is 23151201347. The reversal of 23151201345 is 54310215132.

23151201345 is a `hidden beast` number, since 2 + 315 + 1 + 2 + 0 + 1 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4025141136 + 19126060209 = 63444^2 + 138297^2 .

It is not a de Polignac number, because 23151201345 - 28 = 23151201089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23151201347) 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, 102867 + ... + 238503.

It is an arithmetic number, because the mean of its divisors is an integer number (1672484359).

Almost surely, 223151201345 is an apocalyptic number.

It is an amenable number.

23151201345 is a deficient number, since it is larger than the sum of its proper divisors (16988423271).

23151201345 is a wasteful number, since it uses less digits than its factorization.

23151201345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139441 (or 139438 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 23151201345 its reverse (54310215132), we get a palindrome (77461416477).

The spelling of 23151201345 in words is "twenty-three billion, one hundred fifty-one million, two hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 3793 11379 18965 34137 56895 135637 170685 406911 678185 1220733 2034555 6103665 514471141 1543413423 2572355705 4630240269 7717067115 23151201345