Search a number
-
+
10140332041121 is a prime number
BaseRepresentation
bin1001001110001111101011…
…1000111010001110100001
31022220101222011201120100212
42103203322320322032201
52312114400000303441
633322223151423505
72064420611122442
oct223437270721641
938811864646325
1010140332041121
11325a544096607
121179320824b95
135872c9756349
14270b1a8b12c9
15128b8eda1eeb
hex938fae3a3a1

10140332041121 has 2 divisors, whose sum is σ = 10140332041122. Its totient is φ = 10140332041120.

The previous prime is 10140332041057. The next prime is 10140332041127. The reversal of 10140332041121 is 12114023304101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9610000000000 + 530332041121 = 3100000^2 + 728239^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140332041121 - 26 = 10140332041057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10140332041127) 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, 5070166020560 + 5070166020561.

It is an arithmetic number, because the mean of its divisors is an integer number (5070166020561).

Almost surely, 210140332041121 is an apocalyptic number.

It is an amenable number.

10140332041121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140332041121 is an equidigital number, since it uses as much as digits as its factorization.

10140332041121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10140332041121 its reverse (12114023304101), we get a palindrome (22254355345222).

The spelling of 10140332041121 in words is "ten trillion, one hundred forty billion, three hundred thirty-two million, forty-one thousand, one hundred twenty-one".