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12314335230 = 234521796977
BaseRepresentation
bin10110111011111110…
…11101011111111110
31011210012121001020000
423131333131133332
5200204432211410
65353534535130
7614106056661
oct133577353776
934705531200
1012314335230
11524a13735a
1224780674a6
1312133114c2
1484b6836d8
154c1161dc0
hex2ddfdd7fe

12314335230 has 80 divisors (see below), whose sum is σ = 33131823120. Its totient is φ = 3281845248.

The previous prime is 12314335223. The next prime is 12314335261. The reversal of 12314335230 is 3253341321.

12314335230 is a `hidden beast` number, since 12 + 314 + 335 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12314335194 and 12314335203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761502 + ... + 1768478.

It is an arithmetic number, because the mean of its divisors is an integer number (414147789).

Almost surely, 212314335230 is an apocalyptic number.

12314335230 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 12314335230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565911560).

12314335230 is an abundant number, since it is smaller than the sum of its proper divisors (20817487890).

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

12314335230 is a wasteful number, since it uses less digits than its factorization.

12314335230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12314335230 its reverse (3253341321), we get a palindrome (15567676551).

The spelling of 12314335230 in words is "twelve billion, three hundred fourteen million, three hundred thirty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2179 4358 6537 6977 10895 13074 13954 19611 20931 21790 32685 34885 39222 41862 58833 62793 65370 69770 98055 104655 117666 125586 176499 188379 196110 209310 294165 313965 352998 376758 565137 588330 627930 882495 941895 1130274 1764990 1883790 2825685 5651370 15202883 30405766 45608649 76014415 91217298 136825947 152028830 228043245 273651894 410477841 456086490 684129735 820955682 1231433523 1368259470 2052389205 2462867046 4104778410 6157167615 12314335230