Search a number
-
+
123022331000320 = 29583578983109
BaseRepresentation
bin11011111110001101011110…
…010101101011011000000000
3121010120211010202202122221111
4123332031132111223120000
5112111044213214002240
61113351402331133104
734625033021622403
oct3376153625533000
9533524122678844
10123022331000320
1136220528733a54
121196a6758a4194
135384c57541a1b
142254453a69d3a
15e3515e5ac1ea
hex6fe35e56b600

123022331000320 has 80 divisors (see below), whose sum is σ = 298519059651120. Its totient is φ = 48616053612544.

The previous prime is 123022331000311. The next prime is 123022331000339. The reversal of 123022331000320 is 23000133220321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 123022331000291 and 123022331000300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289279075 + ... + 289704034.

It is an arithmetic number, because the mean of its divisors is an integer number (3731488245639).

Almost surely, 2123022331000320 is an apocalyptic number.

123022331000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123022331000320 is an abundant number, since it is smaller than the sum of its proper divisors (175496728650800).

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

123022331000320 is an frugal number, since it uses more digits than its factorization.

123022331000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578983215 (or 578983199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123022331000320 its reverse (23000133220321), we get a palindrome (146022464220641).

The spelling of 123022331000320 in words is "one hundred twenty-three trillion, twenty-two billion, three hundred thirty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1280 1328 1660 2560 2656 3320 5312 6640 10624 13280 21248 26560 42496 53120 106240 212480 578983109 1157966218 2315932436 2894915545 4631864872 5789831090 9263729744 11579662180 18527459488 23159324360 37054918976 46318648720 48055598047 74109837952 92637297440 96111196094 148219675904 185274594880 192222392188 240277990235 296439351808 370549189760 384444784376 480555980470 741098379520 768889568752 961111960940 1482196759040 1537779137504 1922223921880 3075558275008 3844447843760 6151116550016 7688895687520 12302233100032 15377791375040 24604466200064 30755582750080 61511165500160 123022331000320