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3311132120 = 2354110718869
BaseRepresentation
bin1100010101011011…
…1101110111011000
322112202110221100222
43011112331313120
523240122211440
61304321015212
7145024105262
oct30526756730
98482427328
103311132120
11144a05862a
12784a84508
13409cac29a
14235a76b32
15145a512b5
hexc55bddd8

3311132120 has 64 divisors (see below), whose sum is σ = 7703488800. Its totient is φ = 1280005120.

The previous prime is 3311132119. The next prime is 3311132129. The reversal of 3311132120 is 212311133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311132129) 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 15 ways as a sum of consecutive naturals, for example, 166046 + ... + 184914.

Almost surely, 23311132120 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 3311132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851744400).

3311132120 is an abundant number, since it is smaller than the sum of its proper divisors (4392356680).

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

3311132120 is a wasteful number, since it uses less digits than its factorization.

3311132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028 (or 19024 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3311132120 is about 57542.4375569892. The cubic root of 3311132120 is about 1490.4777712032.

Adding to 3311132120 its reverse (212311133), we get a palindrome (3523443253).

The spelling of 3311132120 in words is "three billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 107 164 205 214 328 410 428 535 820 856 1070 1640 2140 4280 4387 8774 17548 18869 21935 35096 37738 43870 75476 87740 94345 150952 175480 188690 377380 754760 773629 1547258 2018983 3094516 3868145 4037966 6189032 7736290 8075932 10094915 15472580 16151864 20189830 30945160 40379660 80759320 82778303 165556606 331113212 413891515 662226424 827783030 1655566060 3311132120