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98001010089 = 3233997320293
BaseRepresentation
bin101101101000101010…
…0001011110110101001
3100100221212012010121100
41123101110023312221
53101201224310324
6113004313432013
710036361561403
oct1332124136651
9310855163540
1098001010089
1138620019424
1216bb040b609
13931a62a088
144a59789b73
1528389c64c9
hex16d150bda9

98001010089 has 12 divisors (see below), whose sum is σ = 141561620356. Its totient is φ = 65331880992.

The previous prime is 98001010007. The next prime is 98001010091.

98001010089 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 37662000489 + 60339009600 = 194067^2 + 245640^2 .

It is not a de Polignac number, because 98001010089 - 223 = 97992621481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98001011089) 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 in 11 ways as a sum of consecutive naturals, for example, 145827 + ... + 466119.

Almost surely, 298001010089 is an apocalyptic number.

It is an amenable number.

98001010089 is a deficient number, since it is larger than the sum of its proper divisors (43560610267).

98001010089 is a wasteful number, since it uses less digits than its factorization.

98001010089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354296 (or 354293 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

It can be divided in two parts, 980010 and 10089, that added together give a palindrome (990099).

The spelling of 98001010089 in words is "ninety-eight billion, one million, ten thousand, eighty-nine".

Divisors: 1 3 9 33997 101991 305973 320293 960879 2882637 10889001121 32667003363 98001010089