Search a number
-
+
10002120103331 is a prime number
BaseRepresentation
bin1001000110001100110011…
…0100001101010110100011
31022102012012221120122211222
42101203030310031112203
52302333320221301311
633134524402125255
72051425601050466
oct221431464152643
938365187518758
1010002120103331
11320696a053034
12115658995082b
13577271464835
1426816892d2dd
151252a112badb
hex918ccd0d5a3

10002120103331 has 2 divisors, whose sum is σ = 10002120103332. Its totient is φ = 10002120103330.

The previous prime is 10002120103303. The next prime is 10002120103373. The reversal of 10002120103331 is 13330102120001.

It is a weak prime.

It is an emirp because it is prime and its reverse (13330102120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10002120103331 is a prime.

It is a super-2 number, since 2×100021201033312 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002120100331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060051665 + 5001060051666.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060051666).

Almost surely, 210002120103331 is an apocalyptic number.

10002120103331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120103331 is an equidigital number, since it uses as much as digits as its factorization.

10002120103331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10002120103331 its reverse (13330102120001), we get a palindrome (23332222223332).

The spelling of 10002120103331 in words is "ten trillion, two billion, one hundred twenty million, one hundred three thousand, three hundred thirty-one".