Search a number
-
+
40102123101023 is a prime number
BaseRepresentation
bin10010001111001000000001…
…10011010101101101011111
312020222201120220120001122102
421013210000303111231133
520224013122003213043
6221142354440435315
711306165665062104
oct1107440063255537
9166881526501572
1040102123101023
1111861240037415
1245b8087a78b3b
13194b7c9bc2aa9
149c8d4b4baaab
154982355336b8
hex247900cd5b5f

40102123101023 has 2 divisors, whose sum is σ = 40102123101024. Its totient is φ = 40102123101022.

The previous prime is 40102123100989. The next prime is 40102123101049. The reversal of 40102123101023 is 32010132120104.

40102123101023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 40102123101023 - 222 = 40102118906719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40102123100986 and 40102123101004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40102123101083) 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, 20051061550511 + 20051061550512.

It is an arithmetic number, because the mean of its divisors is an integer number (20051061550512).

Almost surely, 240102123101023 is an apocalyptic number.

40102123101023 is a deficient number, since it is larger than the sum of its proper divisors (1).

40102123101023 is an equidigital number, since it uses as much as digits as its factorization.

40102123101023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 40102123101023 its reverse (32010132120104), we get a palindrome (72112255221127).

The spelling of 40102123101023 in words is "forty trillion, one hundred two billion, one hundred twenty-three million, one hundred one thousand, twenty-three".