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3112121012 = 22711134911583
BaseRepresentation
bin1011100101111111…
…0011001010110100
322000220000010110012
42321133303022310
522333200333022
61232451315352
7140056410050
oct27137631264
98026003405
103112121012
111357790640
1272a2abb58
133a79b0130
14217470c60
1513333ede2
hexb97f32b4

3112121012 has 96 divisors (see below), whose sum is σ = 7331917824. Its totient is φ = 1116259200.

The previous prime is 3112121003. The next prime is 3112121041. The reversal of 3112121012 is 2101212113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1965173 + ... + 1966755.

It is an arithmetic number, because the mean of its divisors is an integer number (76374144).

Almost surely, 23112121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665958912).

3112121012 is an abundant number, since it is smaller than the sum of its proper divisors (4219796812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3112121012 is a wasteful number, since it uses less digits than its factorization.

3112121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 3112121012 is about 55786.3873359801. The cubic root of 3112121012 is about 1459.9976562169.

Adding to 3112121012 its reverse (2101212113), we get a palindrome (5213333125).

The spelling of 3112121012 in words is "three billion, one hundred twelve million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 491 572 982 1001 1583 1964 2002 3166 3437 4004 5401 6332 6383 6874 10802 11081 12766 13748 17413 20579 21604 22162 25532 34826 37807 41158 44324 44681 69652 70213 75614 82316 89362 121891 140426 144053 151228 178724 226369 243782 280852 288106 452738 487564 491491 576212 777253 905476 982982 1554506 1584583 1965964 3109012 3169166 5440771 6338332 8549783 10104289 10881542 17099566 20208578 21763084 34199132 40417156 59848481 70730023 111147179 119696962 141460046 222294358 239393924 282920092 444588716 778030253 1556060506 3112121012