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20132312310001 = 417344914980993
BaseRepresentation
bin1001001001111011010110…
…10100101110000011110001
32122021122000110102021021201
410210331223110232003301
510114321433422410001
6110452353454051201
74145340316060543
oct444755324560361
978248013367251
1020132312310001
11646207a4a5971
12231193a7a9b01
13b30613250828
144d85a287b693
1524da4abed501
hex124f6b52e0f1

20132312310001 has 16 divisors (see below), whose sum is σ = 20952418208400. Its totient is φ = 19329075118080.

The previous prime is 20132312309957. The next prime is 20132312310031. The reversal of 20132312310001 is 10001321323102.

It can be written as a sum of positive squares in 8 ways, for example, as 172371110976 + 19959941199025 = 415176^2 + 4467655^2 .

It is a cyclic number.

It is not a de Polignac number, because 20132312310001 - 213 = 20132312301809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20132312310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6146640 + ... + 8834353.

It is an arithmetic number, because the mean of its divisors is an integer number (1309526138025).

Almost surely, 220132312310001 is an apocalyptic number.

It is an amenable number.

20132312310001 is a deficient number, since it is larger than the sum of its proper divisors (820105898399).

20132312310001 is a wasteful number, since it uses less digits than its factorization.

20132312310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14981556.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20132312310001 its reverse (10001321323102), we get a palindrome (30133633633103).

The spelling of 20132312310001 in words is "twenty trillion, one hundred thirty-two billion, three hundred twelve million, three hundred ten thousand, one".

Divisors: 1 41 73 449 2993 18409 32777 1343857 14980993 614220713 1093612489 6726465857 44838112049 275785100137 491032007561 20132312310001