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13113123120 = 2432518212671
BaseRepresentation
bin11000011011001101…
…00110000100110000
31020211212122200012200
430031212212010300
5203323424414440
610005111423200
7642645464436
oct141546460460
936755580180
1013113123120
11561a01a539
12265b684b00
13130c95b766
148c57b4d56
1551b349c30
hex30d9a6130

13113123120 has 60 divisors (see below), whose sum is σ = 44038240896. Its totient is φ = 3496832640.

The previous prime is 13113123119. The next prime is 13113123151. The reversal of 13113123120 is 2132131131.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 13113123093 and 13113123102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9105616 + ... + 9107055.

Almost surely, 213113123120 is an apocalyptic number.

13113123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113123120 is an abundant number, since it is smaller than the sum of its proper divisors (30925117776).

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

13113123120 is a wasteful number, since it uses less digits than its factorization.

13113123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18212690 (or 18212681 counting only the distinct ones).

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

Adding to 13113123120 its reverse (2132131131), we get a palindrome (15245254251).

The spelling of 13113123120 in words is "thirteen billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18212671 36425342 54638013 72850684 91063355 109276026 145701368 163914039 182126710 218552052 273190065 291402736 327828078 364253420 437104104 546380130 655656156 728506840 819570195 874208208 1092760260 1311312312 1457013680 1639140390 2185520520 2622624624 3278280780 4371041040 6556561560 13113123120