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20313102231101 is a prime number
BaseRepresentation
bin1001001111001100000110…
…01111100010011000111101
32122220220200000112211120102
410213212003033202120331
510130302213132343401
6111111413233330445
74164400416045611
oct447460317423075
978826600484512
1020313102231101
1165218137144a9
122340994a06a25
13b446957294c4
1450323353b341
152535cc93c56b
hex1279833e263d

20313102231101 has 2 divisors, whose sum is σ = 20313102231102. Its totient is φ = 20313102231100.

The previous prime is 20313102231049. The next prime is 20313102231109. The reversal of 20313102231101 is 10113220131302.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14632721175076 + 5680381056025 = 3825274^2 + 2383355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20313102231101 is a prime.

It is a super-3 number, since 3×203131022311013 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20313102231109) 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 as a sum of consecutive naturals, namely, 10156551115550 + 10156551115551.

It is an arithmetic number, because the mean of its divisors is an integer number (10156551115551).

Almost surely, 220313102231101 is an apocalyptic number.

It is an amenable number.

20313102231101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20313102231101 is an equidigital number, since it uses as much as digits as its factorization.

20313102231101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20313102231101 its reverse (10113220131302), we get a palindrome (30426322362403).

The spelling of 20313102231101 in words is "twenty trillion, three hundred thirteen billion, one hundred two million, two hundred thirty-one thousand, one hundred one".