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1232023120 = 24515400289
BaseRepresentation
bin100100101101111…
…0010111001010000
310011212021020222221
41021123302321100
510010344214440
6322130310424
742350011066
oct11133627120
93155236887
101232023120
11582499229
122a4728414
13168327283
14b98a8036
1573263d4a
hex496f2e50

1232023120 has 20 divisors (see below), whose sum is σ = 2864453940. Its totient is φ = 492809216.

The previous prime is 1232023097. The next prime is 1232023123. The reversal of 1232023120 is 213202321.

It can be written as a sum of positive squares in 2 ways, for example, as 662341696 + 569681424 = 25736^2 + 23868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×12320231203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1232023094 and 1232023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232023123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7700065 + ... + 7700224.

It is an arithmetic number, because the mean of its divisors is an integer number (143222697).

Almost surely, 21232023120 is an apocalyptic number.

1232023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232023120 is an abundant number, since it is smaller than the sum of its proper divisors (1632430820).

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

1232023120 is a wasteful number, since it uses less digits than its factorization.

1232023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400302 (or 15400296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1232023120 is about 35100.1868940893. The cubic root of 1232023120 is about 1072.0283880876.

Adding to 1232023120 its reverse (213202321), we get a palindrome (1445225441).

The spelling of 1232023120 in words is "one billion, two hundred thirty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15400289 30800578 61601156 77001445 123202312 154002890 246404624 308005780 616011560 1232023120