Search a number
-
+
10033019284657 is a prime number
BaseRepresentation
bin1001000111111111111010…
…0011001110110010110001
31022112010222100211201010011
42101333332203032302301
52303340110414102112
633201034434534521
72053601366545315
oct221777643166261
938463870751104
1010033019284657
113218a8590a326
121160571a37441
1357a156bc7795
1426985a55db45
15125eadb6eaa7
hex91ffe8cecb1

10033019284657 has 2 divisors, whose sum is σ = 10033019284658. Its totient is φ = 10033019284656.

The previous prime is 10033019284619. The next prime is 10033019284661. The reversal of 10033019284657 is 75648291033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7784791935376 + 2248227349281 = 2790124^2 + 1499409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033019284657 is a prime.

It is a super-2 number, since 2×100330192846572 (a number of 27 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 10033019284657.

It is not a weakly prime, because it can be changed into another prime (10033019264657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016509642328 + 5016509642329.

It is an arithmetic number, because the mean of its divisors is an integer number (5016509642329).

It is a 1-persistent number, because it is pandigital, but 2⋅10033019284657 = 20066038569314 is not.

Almost surely, 210033019284657 is an apocalyptic number.

It is an amenable number.

10033019284657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033019284657 is an equidigital number, since it uses as much as digits as its factorization.

10033019284657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 10033019284657 in words is "ten trillion, thirty-three billion, nineteen million, two hundred eighty-four thousand, six hundred fifty-seven".