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991131131199 = 311172277782917
BaseRepresentation
bin11100110110001000000…
…01001101110100111111
310111202021122002012122210
432123010001031310333
5112214314032144244
62035152551511503
7131415103416456
oct16330401156477
93452248065583
10991131131199
11352377759560
12140107988593
1372603a3bb91
1435d84607b9d
151abacd3d4b9
hexe6c404dd3f

991131131199 has 32 divisors (see below), whose sum is σ = 1533172582656. Its totient is φ = 562860485120.

The previous prime is 991131131197. The next prime is 991131131209.

991131131199 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 991131131199 - 21 = 991131131197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991131131197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764112 + ... + 4018805.

It is an arithmetic number, because the mean of its divisors is an integer number (47911643208).

Almost surely, 2991131131199 is an apocalyptic number.

991131131199 is a deficient number, since it is larger than the sum of its proper divisors (542041451457).

991131131199 is a wasteful number, since it uses less digits than its factorization.

991131131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783175.

The product of its digits is 59049, while the sum is 48.

The spelling of 991131131199 in words is "nine hundred ninety-one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 3 11 17 33 51 187 227 561 681 2497 3859 7491 11577 42449 127347 7782917 23348751 85612087 132309589 256836261 396928767 1455405479 1766722159 4366216437 5300166477 19433943749 30034276703 58301831247 90102830109 330377043733 991131131199