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3133223120 = 245192061331
BaseRepresentation
bin1011101011000001…
…0011000011010000
322002100201020002202
42322300103003100
522404101114440
61234523502332
7140433646166
oct27260230320
98070636082
103133223120
1113686939a5
127353879a8
133ac18b0a1
1421a1a5236
1513510c615
hexbac130d0

3133223120 has 40 divisors (see below), whose sum is σ = 7668155040. Its totient is φ = 1187326080.

The previous prime is 3133223117. The next prime is 3133223123. The reversal of 3133223120 is 213223313.

It is an interprime number because it is at equal distance from previous prime (3133223117) and next prime (3133223123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3133223092 and 3133223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029146 + ... + 1032185.

It is an arithmetic number, because the mean of its divisors is an integer number (191703876).

Almost surely, 23133223120 is an apocalyptic number.

It is an amenable number.

3133223120 is an abundant number, since it is smaller than the sum of its proper divisors (4534931920).

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

3133223120 is a wasteful number, since it uses less digits than its factorization.

3133223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061363 (or 2061357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3133223120 is about 55975.2009375581. The cubic root of 3133223120 is about 1463.2901218669.

Adding to 3133223120 its reverse (213223313), we get a palindrome (3346446433).

The spelling of 3133223120 in words is "three billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2061331 4122662 8245324 10306655 16490648 20613310 32981296 39165289 41226620 78330578 82453240 156661156 164906480 195826445 313322312 391652890 626644624 783305780 1566611560 3133223120