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123430120 = 235111631721
BaseRepresentation
bin1110101101101…
…10010011101000
322121020220021221
413112312103220
5223044230440
620125311424
73026065402
oct726662350
9277226257
10123430120
1163744970
1235405574
131c758298
141256db72
15ac81d4a
hex75b64e8

123430120 has 64 divisors (see below), whose sum is σ = 305000640. Its totient is φ = 44582400.

The previous prime is 123430117. The next prime is 123430123. The reversal of 123430120 is 21034321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123430117) and next prime (123430123).

It is a junction number, because it is equal to n+sod(n) for n = 123430094 and 123430103.

It is not an unprimeable number, because it can be changed into a prime (123430123) 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, 70860 + ... + 72580.

It is an arithmetic number, because the mean of its divisors is an integer number (4765635).

Almost surely, 2123430120 is an apocalyptic number.

123430120 is a gapful number since it is divisible by the number (10) 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 123430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500320).

123430120 is an abundant number, since it is smaller than the sum of its proper divisors (181570520).

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

123430120 is a wasteful number, since it uses less digits than its factorization.

123430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

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

The square root of 123430120 is about 11109.9108907318. The cubic root of 123430120 is about 497.8980022610.

Adding to 123430120 its reverse (21034321), we get a palindrome (144464441).

It can be divided in two parts, 1234301 and 20, that added together give a palindrome (1234321).

The spelling of 123430120 in words is "one hundred twenty-three million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1721 1793 3260 3442 3586 6520 6884 7172 8605 8965 13768 14344 17210 17930 18931 34420 35860 37862 68840 71720 75724 94655 151448 189310 280523 378620 561046 757240 1122092 1402615 2244184 2805230 3085753 5610460 6171506 11220920 12343012 15428765 24686024 30857530 61715060 123430120