Search a number
-
+
101233002947 is a prime number
BaseRepresentation
bin101111001000111110…
…1010000100111000011
3100200022002202101022112
41132101331100213003
53124311122043242
6114301130325535
710212435220166
oct1362175204703
9320262671275
10101233002947
1139a294334aa
12177528898ab
1397140ba99b
144c84b01add
1529775e3c82
hex1791f509c3

101233002947 has 2 divisors, whose sum is σ = 101233002948. Its totient is φ = 101233002946.

The previous prime is 101233002901. The next prime is 101233002989. The reversal of 101233002947 is 749200332101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101233002947 - 222 = 101228808643 is a prime.

It is a super-3 number, since 3×1012330029473 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101233002547) 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, 50616501473 + 50616501474.

It is an arithmetic number, because the mean of its divisors is an integer number (50616501474).

Almost surely, 2101233002947 is an apocalyptic number.

101233002947 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233002947 is an equidigital number, since it uses as much as digits as its factorization.

101233002947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 101233002947 in words is "one hundred one billion, two hundred thirty-three million, two thousand, nine hundred forty-seven".