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1123312120 = 235712313259
BaseRepresentation
bin100001011110100…
…0110000111111000
32220021201011112121
41002331012013320
54300031441440
6303244251024
736556665310
oct10275060770
92807634477
101123312120
11527098027
12274240a74
1314b953838
14a928a440
156893d34a
hex42f461f8

1123312120 has 64 divisors (see below), whose sum is σ = 2891750400. Its totient is φ = 384704640.

The previous prime is 1123312109. The next prime is 1123312121. The reversal of 1123312120 is 212133211.

It is a junction number, because it is equal to n+sod(n) for n = 1123312094 and 1123312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123312121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343051 + ... + 346309.

It is an arithmetic number, because the mean of its divisors is an integer number (45183600).

Almost surely, 21123312120 is an apocalyptic number.

1123312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123312120 is an abundant number, since it is smaller than the sum of its proper divisors (1768438280).

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

1123312120 is a wasteful number, since it uses less digits than its factorization.

1123312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1123312120 is about 33515.8487882972. The cubic root of 1123312120 is about 1039.5215131245.

Adding to 1123312120 its reverse (212133211), we get a palindrome (1335445331).

The spelling of 1123312120 in words is "one billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1231 2462 3259 4924 6155 6518 8617 9848 12310 13036 16295 17234 22813 24620 26072 32590 34468 43085 45626 49240 65180 68936 86170 91252 114065 130360 172340 182504 228130 344680 456260 912520 4011829 8023658 16047316 20059145 28082803 32094632 40118290 56165606 80236580 112331212 140414015 160473160 224662424 280828030 561656060 1123312120