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111984598881 = 3233123372
BaseRepresentation
bin110100001001011001…
…1010101111101100001
3101201001101210001020100
41220102303111331201
53313321024131011
6123240042333013
711043040246011
oct1502263257541
9351041701210
10111984598881
1143546428681
12198534ba169
13a73871117c
1455c49cdc41
152da6466d56
hex1a12cd5f61

111984598881 has 27 divisors (see below), whose sum is σ = 162728565363. Its totient is φ = 74209988160.

The previous prime is 111984598829. The next prime is 111984598909. The reversal of 111984598881 is 188895489111.

The square root of 111984598881 is 334641.

It is a perfect power (a square), and thus also a powerful number.

111984598881 is a `hidden beast` number, since 1 + 11 + 98 + 459 + 8 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30197750625 + 81786848256 = 173775^2 + 285984^2 .

It is not a de Polignac number, because 111984598881 - 27 = 111984598753 is a prime.

It is a super-2 number, since 2×1119845988812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111984598681) 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 26 ways as a sum of consecutive naturals, for example, 332298345 + ... + 332298681.

Almost surely, 2111984598881 is an apocalyptic number.

111984598881 is the 334641-st square number.

111984598881 is the 167321-st centered octagonal number.

It is an amenable number.

111984598881 is a deficient number, since it is larger than the sum of its proper divisors (50743966482).

111984598881 is an frugal number, since it uses more digits than its factorization.

111984598881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 63.

The spelling of 111984598881 in words is "one hundred eleven billion, nine hundred eighty-four million, five hundred ninety-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 331 337 993 1011 2979 3033 109561 111547 113569 328683 334641 340707 986049 1003923 1022121 36922057 37591339 110766171 112774017 332298513 338322051 12442733209 37328199627 111984598881