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23305430325 = 35231167193311
BaseRepresentation
bin10101101101000111…
…001010010100110101
32020011012021112020010
4111231013022110311
5340212142232300
614412324130433
71453346614002
oct255507122465
966135245203
1023305430325
11997a342821
124624b36a19
13227543b878
1411b12b68a9
15916042a50
hex56d1ca535

23305430325 has 96 divisors (see below), whose sum is σ = 40349417472. Its totient is φ = 11856384000.

The previous prime is 23305430279. The next prime is 23305430359. The reversal of 23305430325 is 52303450332.

It is not a de Polignac number, because 23305430325 - 26 = 23305430261 is a prime.

It is a super-3 number, since 3×233054303253 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23305430292 and 23305430301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74936920 + ... + 74937230.

It is an arithmetic number, because the mean of its divisors is an integer number (420306432).

Almost surely, 223305430325 is an apocalyptic number.

23305430325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23305430325 is a deficient number, since it is larger than the sum of its proper divisors (17043987147).

23305430325 is a wasteful number, since it uses less digits than its factorization.

23305430325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 23305430325 its reverse (52303450332), we get a palindrome (75608880657).

The spelling of 23305430325 in words is "twenty-three billion, three hundred five million, four hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 167 193 311 465 501 579 775 835 933 965 1555 2325 2505 2895 4175 4665 4825 5177 5983 7775 9641 12525 14475 15531 17949 23325 25885 28923 29915 32231 48205 51937 60023 77655 89745 96693 129425 144615 149575 155811 161155 180069 241025 259685 300115 388275 448725 483465 723075 779055 805775 900345 999161 1298425 1500575 1610047 1860713 2417325 2997483 3895275 4501725 4830141 4995805 5582139 8050235 9303565 10023841 14987415 24150705 24979025 27910695 30071523 40251175 46517825 50119205 74937075 120753525 139553475 150357615 250596025 310739071 751788075 932217213 1553695355 4661086065 7768476775 23305430325