Search a number
-
+
1020100012049 is a prime number
BaseRepresentation
bin11101101100000101011…
…00101110100000010001
310121112001112010211110202
432312002230232200101
5113203131100341144
62100343311304545
7133462013015156
oct16660254564021
93545045124422
101020100012049
113636929544a8
1214585151b155
137526c5bc5b1
1437531b2422d
151b80618a64e
hexed82b2e811

1020100012049 has 2 divisors, whose sum is σ = 1020100012050. Its totient is φ = 1020100012048.

The previous prime is 1020100012039. The next prime is 1020100012229. The reversal of 1020100012049 is 9402100010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915835602049 + 104264410000 = 956993^2 + 322900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020100012049 - 228 = 1019831576593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020100012049.

It is not a weakly prime, because it can be changed into another prime (1020100012039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050006024 + 510050006025.

It is an arithmetic number, because the mean of its divisors is an integer number (510050006025).

Almost surely, 21020100012049 is an apocalyptic number.

It is an amenable number.

1020100012049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100012049 is an equidigital number, since it uses as much as digits as its factorization.

1020100012049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1020100012049 in words is "one trillion, twenty billion, one hundred million, twelve thousand, forty-nine".