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123113430 = 232511373361
BaseRepresentation
bin1110101011010…
…00111111010110
322120122210212200
413111220333112
5223004112210
620114425330
73023306166
oct725507726
9276583780
10123113430
1163548a40
1235292246
131c6770ab
14124ca5a6
15ac1d0c0
hex7568fd6

123113430 has 96 divisors (see below), whose sum is σ = 358738848. Its totient is φ = 29030400.

The previous prime is 123113423. The next prime is 123113437. The reversal of 123113430 is 34311321.

123113430 is a `hidden beast` number, since 1 + 231 + 1 + 3 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (123113423) and next prime (123113437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34950 + ... + 38310.

It is an arithmetic number, because the mean of its divisors is an integer number (3736863).

Almost surely, 2123113430 is an apocalyptic number.

123113430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179369424).

123113430 is an abundant number, since it is smaller than the sum of its proper divisors (235625418).

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

123113430 is a wasteful number, since it uses less digits than its factorization.

123113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123113430 is about 11095.6491473009. The cubic root of 123113430 is about 497.4718114042.

Adding to 123113430 its reverse (34311321), we get a palindrome (157424751).

The spelling of 123113430 in words is "one hundred twenty-three million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3361 3663 4070 6105 6722 7326 10083 12210 16805 18315 20166 30249 33610 36630 36971 50415 60498 73942 100830 110913 124357 151245 184855 221826 248714 302490 332739 369710 373071 554565 621785 665478 746142 1109130 1119213 1243570 1367927 1663695 1865355 2238426 2735854 3327390 3730710 4103781 5596065 6839635 8207562 11192130 12311343 13679270 20518905 24622686 41037810 61556715 123113430