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3112131113 = 71325574723
BaseRepresentation
bin1011100101111111…
…0101101000101001
322000220000122022022
42321133311220221
522333201143423
61232451434225
7140056451360
oct27137655051
98026018268
103112131113
111357798193
1272a2b5975
133a79b4900
142174747d7
15133342dc8
hexb97f5a29

3112131113 has 24 divisors (see below), whose sum is σ = 3859092288. Its totient is φ = 2457404352.

The previous prime is 3112131107. The next prime is 3112131119. The reversal of 3112131113 is 3111312113.

It is an interprime number because it is at equal distance from previous prime (3112131107) and next prime (3112131119).

It is not a de Polignac number, because 3112131113 - 24 = 3112131097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3112131091 and 3112131100.

It is not an unprimeable number, because it can be changed into a prime (3112131119) 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 23 ways as a sum of consecutive naturals, for example, 656570 + ... + 661292.

It is an arithmetic number, because the mean of its divisors is an integer number (160795512).

Almost surely, 23112131113 is an apocalyptic number.

It is an amenable number.

3112131113 is a deficient number, since it is larger than the sum of its proper divisors (746961175).

3112131113 is a wasteful number, since it uses less digits than its factorization.

3112131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5300 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 3112131113 is about 55786.4778687452. The cubic root of 3112131113 is about 1459.9992357849. Note that the first 3 decimals are identical.

Adding to 3112131113 its reverse (3111312113), we get a palindrome (6223443226).

The spelling of 3112131113 in words is "three billion, one hundred twelve million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 7 13 91 169 557 1183 3899 4723 7241 33061 50687 61399 94133 429793 658931 798187 2630711 5587309 18414977 34199243 239394701 444590159 3112131113