Search a number
-
+
10105000047889 is a prime number
BaseRepresentation
bin1001001100001100000011…
…1100000011010100010001
31022210000202211100100022221
42103003000330003110101
52311030020003013024
633254101204301041
72062030215130015
oct223030074032421
938700684310287
1010105000047889
1132465630aa0aa
1211725000a1781
13583b88812586
1426d128264545
15127cc30e33e4
hex930c0f03511

10105000047889 has 2 divisors, whose sum is σ = 10105000047890. Its totient is φ = 10105000047888.

The previous prime is 10105000047853. The next prime is 10105000047917. The reversal of 10105000047889 is 98874000050101.

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., 8589688287489 + 1515311760400 = 2930817^2 + 1230980^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105000047889 - 243 = 1308907025681 is a prime.

It is a super-2 number, since 2×101050000478892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10105000047589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052500023944 + 5052500023945.

It is an arithmetic number, because the mean of its divisors is an integer number (5052500023945).

Almost surely, 210105000047889 is an apocalyptic number.

It is an amenable number.

10105000047889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105000047889 is an equidigital number, since it uses as much as digits as its factorization.

10105000047889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 10105000047889 in words is "ten trillion, one hundred five billion, forty-seven thousand, eight hundred eighty-nine".