Search a number
-
+
31004413337 is a prime number
BaseRepresentation
bin11100111000000000…
…011100110110011001
32222000202021101110002
4130320000130312121
51001444112211322
622124312102345
72145214110422
oct347000346631
988022241402
1031004413337
11121702016a7
1260133949b5
132c014b9011
1417019c4649
15c16dccc92
hex73801cd99

31004413337 has 2 divisors, whose sum is σ = 31004413338. Its totient is φ = 31004413336.

The previous prime is 31004413277. The next prime is 31004413361. The reversal of 31004413337 is 73331440013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30105373081 + 899040256 = 173509^2 + 29984^2 .

It is a cyclic number.

It is not a de Polignac number, because 31004413337 - 226 = 30937304473 is a prime.

It is a super-2 number, since 2×310044133372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31004410337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15502206668 + 15502206669.

It is an arithmetic number, because the mean of its divisors is an integer number (15502206669).

Almost surely, 231004413337 is an apocalyptic number.

It is an amenable number.

31004413337 is a deficient number, since it is larger than the sum of its proper divisors (1).

31004413337 is an equidigital number, since it uses as much as digits as its factorization.

31004413337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 29.

The spelling of 31004413337 in words is "thirty-one billion, four million, four hundred thirteen thousand, three hundred thirty-seven".