Search a number
-
+
1037213417 is a prime number
BaseRepresentation
bin111101110100101…
…001111011101001
32200021200220022202
4331310221323221
54111011312132
6250531025545
734463111552
oct7564517351
92607626282
101037213417
11492530879
1224b43b2b5
13136b69566
149ba77329
15610d2762
hex3dd29ee9

1037213417 has 2 divisors, whose sum is σ = 1037213418. Its totient is φ = 1037213416.

The previous prime is 1037213393. The next prime is 1037213423. The reversal of 1037213417 is 7143127301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1030474201 + 6739216 = 32101^2 + 2596^2 .

It is a cyclic number.

It is not a de Polignac number, because 1037213417 - 28 = 1037213161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1037213417.

It is not a weakly prime, because it can be changed into another prime (1037213017) 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, 518606708 + 518606709.

It is an arithmetic number, because the mean of its divisors is an integer number (518606709).

Almost surely, 21037213417 is an apocalyptic number.

It is an amenable number.

1037213417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037213417 is an equidigital number, since it uses as much as digits as its factorization.

1037213417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1037213417 is about 32205.7978786429. The cubic root of 1037213417 is about 1012.2537057180.

The spelling of 1037213417 in words is "one billion, thirty-seven million, two hundred thirteen thousand, four hundred seventeen".