Search a number
-
+
31003212017 is a prime number
BaseRepresentation
bin11100110111111011…
…110111100011110001
32222000200000100112202
4130313323313203301
51001443310241032
622124230232545
72145200645141
oct346773674361
988020010482
1031003212017
111216a561078
126012ab5755
132c0118828b
141701790921
15c16c41d62
hex737ef78f1

31003212017 has 2 divisors, whose sum is σ = 31003212018. Its totient is φ = 31003212016.

The previous prime is 31003212007. The next prime is 31003212029. The reversal of 31003212017 is 71021230013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30499478881 + 503733136 = 174641^2 + 22444^2 .

It is a cyclic number.

It is not a de Polignac number, because 31003212017 - 232 = 26708244721 is a prime.

It is a super-2 number, since 2×310032120172 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31003212017.

It is not a weakly prime, because it can be changed into another prime (31003212007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15501606008 + 15501606009.

It is an arithmetic number, because the mean of its divisors is an integer number (15501606009).

Almost surely, 231003212017 is an apocalyptic number.

It is an amenable number.

31003212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31003212017 is an equidigital number, since it uses as much as digits as its factorization.

31003212017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 31003212017 in words is "thirty-one billion, three million, two hundred twelve thousand, seventeen".