Search a number
-
+
23021132132189 is a prime number
BaseRepresentation
bin1010011110000000001100…
…11001110010111101011101
310000111210120021120022202102
411033000012121302331131
511004134234311212224
6120543432340334445
74564136054314562
oct517000631627535
9100453507508672
1023021132132189
117376230a24474
1226b97966a4425
13cacb63c0c869
1459832b940869
1529dc749274ae
hex14f006672f5d

23021132132189 has 2 divisors, whose sum is σ = 23021132132190. Its totient is φ = 23021132132188.

The previous prime is 23021132132129. The next prime is 23021132132353. The reversal of 23021132132189 is 98123123112032.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22961749752964 + 59382379225 = 4791842^2 + 243685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23021132132189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23021132132129) 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, 11510566066094 + 11510566066095.

It is an arithmetic number, because the mean of its divisors is an integer number (11510566066095).

Almost surely, 223021132132189 is an apocalyptic number.

It is an amenable number.

23021132132189 is a deficient number, since it is larger than the sum of its proper divisors (1).

23021132132189 is an equidigital number, since it uses as much as digits as its factorization.

23021132132189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 23021132132189 in words is "twenty-three trillion, twenty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred eighty-nine".