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20123133121123 is a prime number
BaseRepresentation
bin1001001001101010010000…
…01100111001001001100011
32122020202022202011011100021
410210311020030321021203
510114144134034333443
6110444234552134311
74144563666210124
oct444651014711143
978222282134307
1020123133121123
11645919a04645a
12230bbb8697397
13b2c7ac621916
144d7d7174004b
1524d6aee289ed
hex124d48339263

20123133121123 has 2 divisors, whose sum is σ = 20123133121124. Its totient is φ = 20123133121122.

The previous prime is 20123133121087. The next prime is 20123133121193. The reversal of 20123133121123 is 32112133132102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20123133121123 is a prime.

It is a super-2 number, since 2×201231331211232 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20123133121193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061566560561 + 10061566560562.

It is an arithmetic number, because the mean of its divisors is an integer number (10061566560562).

Almost surely, 220123133121123 is an apocalyptic number.

20123133121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

20123133121123 is an equidigital number, since it uses as much as digits as its factorization.

20123133121123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 20123133121123 its reverse (32112133132102), we get a palindrome (52235266253225).

The spelling of 20123133121123 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty-three".