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980211112089 = 311198917565563
BaseRepresentation
bin11100100001110010010…
…00101001100010011001
310110201002121010202120120
432100321020221202121
5112024433021041324
62030145221543453
7130550354660166
oct16207110514231
93421077122516
10980211112089
11348783689580
12139b7a874b89
1371583569001
143562a1d706d
151a76e2ec179
hexe439229899

980211112089 has 32 divisors (see below), whose sum is σ = 1517664729600. Its totient is φ = 556477004160.

The previous prime is 980211112073. The next prime is 980211112093.

It is a happy number.

980211112089 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 980211112089 - 24 = 980211112073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 980211112089.

It is not an unprimeable number, because it can be changed into a prime (980211114089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8726979 + ... + 8838584.

It is an arithmetic number, because the mean of its divisors is an integer number (47427022800).

Almost surely, 2980211112089 is an apocalyptic number.

It is an amenable number.

980211112089 is a deficient number, since it is larger than the sum of its proper divisors (537453617511).

980211112089 is a wasteful number, since it uses less digits than its factorization.

980211112089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565685.

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 980211112089 in words is "nine hundred eighty billion, two hundred eleven million, one hundred twelve thousand, eighty-nine".

Divisors: 1 3 11 19 33 57 89 209 267 627 979 1691 2937 5073 18601 55803 17565563 52696689 193221193 333745697 579663579 1001237091 1563335107 3671202667 4690005321 11013608001 17196686177 29703367033 51590058531 89110101099 326737037363 980211112089