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3111300120 = 2335316113711
BaseRepresentation
bin1011100101110010…
…1010110000011000
322000211110102101210
42321130222300120
522332443100440
61232421543120
7140046420555
oct27134526030
98024412353
103111300120
11135727a915
12729b74aa0
133a77835b6
142172d9a2c
1513322ba80
hexb972ac18

3111300120 has 128 divisors (see below), whose sum is σ = 9793658880. Its totient is φ = 789696000.

The previous prime is 3111300109. The next prime is 3111300139. The reversal of 3111300120 is 210031113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3111300096 and 3111300105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220065 + ... + 233775.

It is an arithmetic number, because the mean of its divisors is an integer number (76512960).

Almost surely, 23111300120 is an apocalyptic number.

3111300120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896829440).

3111300120 is an abundant number, since it is smaller than the sum of its proper divisors (6682358760).

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

3111300120 is a wasteful number, since it uses less digits than its factorization.

3111300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3111300120 is about 55779.0293927745. The cubic root of 3111300120 is about 1459.8692758418.

Adding to 3111300120 its reverse (210031113), we get a palindrome (3321331233).

The spelling of 3111300120 in words is "three billion, one hundred eleven million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 915 930 1220 1240 1464 1830 1860 1891 2440 3660 3720 3782 5673 7320 7564 9455 11346 13711 15128 18910 22692 27422 28365 37820 41133 45384 54844 56730 68555 75640 82266 109688 113460 137110 164532 205665 226920 274220 329064 411330 425041 548440 822660 836371 850082 1275123 1645320 1672742 1700164 2125205 2509113 2550246 3345484 3400328 4181855 4250410 5018226 5100492 6375615 6690968 8363710 8500820 10036452 10200984 12545565 12751230 16727420 17001640 20072904 25091130 25502460 25927501 33454840 50182260 51004920 51855002 77782503 100364520 103710004 129637505 155565006 207420008 259275010 311130012 388912515 518550020 622260024 777825030 1037100040 1555650060 3111300120