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3115114431 = 3111329337743
BaseRepresentation
bin1011100110101100…
…1101111110111111
322001002122012122120
42321223031332333
522334432130211
61233035414023
7140124015162
oct27153157677
98032565576
103115114431
111359445640
1272b2b4313
133a84ba7a0
14217a0dad9
15133731d06
hexb9acdfbf

3115114431 has 64 divisors (see below), whose sum is σ = 5069675520. Its totient is φ = 1675376640.

The previous prime is 3115114337. The next prime is 3115114517. The reversal of 3115114431 is 1344115113.

It is not a de Polignac number, because 3115114431 - 211 = 3115112383 is a prime.

It is a super-2 number, since 2×31151144312 = 19407875836448907522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115114831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4192246 + ... + 4192988.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 23115114431 is an apocalyptic number.

3115114431 is a deficient number, since it is larger than the sum of its proper divisors (1954561089).

3115114431 is a wasteful number, since it uses less digits than its factorization.

3115114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136.

The product of its digits is 720, while the sum is 24.

The square root of 3115114431 is about 55813.2101836115. The cubic root of 3115114431 is about 1460.4656097686.

Adding to 3115114431 its reverse (1344115113), we get a palindrome (4459229544).

The spelling of 3115114431 in words is "three billion, one hundred fifteen million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 13 29 33 39 87 143 319 337 377 429 743 957 1011 1131 2229 3707 4147 4381 8173 9659 9773 11121 12441 13143 21547 24519 28977 29319 48191 64641 106249 107503 127049 144573 237017 250391 280111 318747 322509 381147 711051 751173 840333 1397539 2754301 3081221 3255083 4192617 7261339 8262903 9243663 9765249 21784017 35805913 79874729 94397407 107417739 239624187 283192221 1038371477 3115114431