Search a number
-
+
100110100003 is a prime number
BaseRepresentation
bin101110100111100000…
…1101110011000100011
3100120101211211000001121
41131033001232120203
53120011141200003
6113553454513111
710142551544524
oct1351701563043
9316354730047
10100110100003
11395025a5941
121749a805797
13959557b484
144bb992084b
15290dc36cbd
hex174f06e623

100110100003 has 2 divisors, whose sum is σ = 100110100004. Its totient is φ = 100110100002.

The previous prime is 100110099961. The next prime is 100110100019. The reversal of 100110100003 is 300001011001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100110100003 - 221 = 100108002851 is a prime.

It is a super-2 number, since 2×1001101000032 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110100043) 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, 50055050001 + 50055050002.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050002).

Almost surely, 2100110100003 is an apocalyptic number.

100110100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100003 is an equidigital number, since it uses as much as digits as its factorization.

100110100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100110100003 its reverse (300001011001), we get a palindrome (400111111004).

The spelling of 100110100003 in words is "one hundred billion, one hundred ten million, one hundred thousand, three".