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12330142344131 = 238313149304989
BaseRepresentation
bin1011001101101101010111…
…0000010010001111000011
31121122202020211010212100112
42303123111300102033003
53104004112420003011
642120220022141535
72411552264436233
oct263332560221703
947582224125315
1012330142344131
113a242029a8407
1214717b78818ab
136b595c231881
14308ad401dcc3
15165b0697458b
hexb36d5c123c3

12330142344131 has 16 divisors (see below), whose sum is σ = 13120649498880. Its totient is φ = 11563005785760.

The previous prime is 12330142344073. The next prime is 12330142344151. The reversal of 12330142344131 is 13144324103321.

12330142344131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12330142344131 is a prime.

It is a super-2 number, since 2×123301423441312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12330142344151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24402416 + ... + 24902573.

It is an arithmetic number, because the mean of its divisors is an integer number (820040593680).

Almost surely, 212330142344131 is an apocalyptic number.

12330142344131 is a deficient number, since it is larger than the sum of its proper divisors (790507154749).

12330142344131 is a wasteful number, since it uses less digits than its factorization.

12330142344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49305226.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 12330142344131 its reverse (13144324103321), we get a palindrome (25474466447452).

The spelling of 12330142344131 in words is "twelve trillion, three hundred thirty billion, one hundred forty-two million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 23 83 131 1909 3013 10873 250079 49304989 1134014747 4092314087 6458953559 94123224001 148555931857 536093145397 12330142344131