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3311121132 = 2233114167979
BaseRepresentation
bin1100010101011011…
…1011001011101100
322112202110101022000
43011112323023230
523240121334012
61304320452300
7145024031244
oct30526731354
98482411260
103311121132
11144a050350
12784a7a090
13409ca7297
14235a72b24
15145a4cddc
hexc55bb2ec

3311121132 has 96 divisors (see below), whose sum is σ = 9593337600. Its totient is φ = 978883200.

The previous prime is 3311121119. The next prime is 3311121137. The reversal of 3311121132 is 2311211133.

It is a super-2 number, since 2×33111211322 = 21927046301553922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (3311121137) 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, 14719 + ... + 82697.

It is an arithmetic number, because the mean of its divisors is an integer number (99930600).

Almost surely, 23311121132 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 3311121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796668800).

3311121132 is an abundant number, since it is smaller than the sum of its proper divisors (6282216468).

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

3311121132 is a wasteful number, since it uses less digits than its factorization.

3311121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68044 (or 68036 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3311121132 is about 57542.3420795504. The cubic root of 3311121132 is about 1490.4761224834.

Adding to 3311121132 its reverse (2311211133), we get a palindrome (5622332265).

Subtracting from 3311121132 its reverse (2311211133), we obtain a palindrome (999909999).

The spelling of 3311121132 in words is "three billion, three hundred eleven million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 48708 67979 135958 203937 271916 407874 611811 747769 815748 1223622 1495538 1835433 2243307 2447244 2787139 2991076 3670866 4486614 5574278 6729921 7341732 8361417 8973228 11148556 13459842 16722834 20189763 25084251 26919684 30658529 33445668 40379526 50168502 61317058 75252753 80759052 91975587 100337004 122634116 150505506 183951174 275926761 301011012 367902348 551853522 827780283 1103707044 1655560566 3311121132