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23115315040033 is a prime number
BaseRepresentation
bin1010100000101111101000…
…01001000100111100100001
310000211210200001022202201111
411100113310021010330201
511012210131122240113
6121055010143103321
74604012024653666
oct520276411047441
9100753601282644
1023115315040033
1174021717a8097
122713aa02a1b41
13cb89c3504b28
1459cb041a5a6d
152a143810913d
hex1505f4244f21

23115315040033 has 2 divisors, whose sum is σ = 23115315040034. Its totient is φ = 23115315040032.

The previous prime is 23115315039991. The next prime is 23115315040123. The reversal of 23115315040033 is 33004051351132.

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., 22262477565969 + 852837474064 = 4718313^2 + 923492^2 .

It is a cyclic number.

It is not a de Polignac number, because 23115315040033 - 241 = 20916291784481 is a prime.

It is a super-3 number, since 3×231153150400333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23115315039977 and 23115315040004.

It is not a weakly prime, because it can be changed into another prime (23115315040733) 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, 11557657520016 + 11557657520017.

It is an arithmetic number, because the mean of its divisors is an integer number (11557657520017).

Almost surely, 223115315040033 is an apocalyptic number.

It is an amenable number.

23115315040033 is a deficient number, since it is larger than the sum of its proper divisors (1).

23115315040033 is an equidigital number, since it uses as much as digits as its factorization.

23115315040033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 23115315040033 its reverse (33004051351132), we get a palindrome (56119366391165).

The spelling of 23115315040033 in words is "twenty-three trillion, one hundred fifteen billion, three hundred fifteen million, forty thousand, thirty-three".