Search a number
-
+
231301233020 = 2251113191423427
BaseRepresentation
bin1101011101101010100…
…0001011100101111100
3211010000210002002000002
43113122220023211330
512242201103424040
6254131444053432
722465601020064
oct3273250134574
9733023062002
10231301233020
118a104574920
12389b2394278
1318a72161530
14b2a328c3a4
15603b433a15
hex35daa0b97c

231301233020 has 96 divisors (see below), whose sum is σ = 573639929856. Its totient is φ = 77232902400.

The previous prime is 231301233013. The next prime is 231301233043. The reversal of 231301233020 is 20332103132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231301232983 and 231301233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334547 + ... + 757973.

It is an arithmetic number, because the mean of its divisors is an integer number (5975415936).

Almost surely, 2231301233020 is an apocalyptic number.

231301233020 is a gapful number since it is divisible by the number (20) 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 231301233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286819964928).

231301233020 is an abundant number, since it is smaller than the sum of its proper divisors (342338696836).

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

231301233020 is a wasteful number, since it uses less digits than its factorization.

231301233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423651 (or 423649 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 231301233020 its reverse (20332103132), we get a palindrome (251633336152).

The spelling of 231301233020 in words is "two hundred thirty-one billion, three hundred one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 191 220 260 286 382 572 715 764 955 1430 1910 2101 2483 2860 3820 4202 4966 8404 9932 10505 12415 21010 24830 27313 42020 49660 54626 109252 136565 273130 423427 546260 846854 1693708 2117135 4234270 4657697 5504551 8468540 9315394 11009102 18630788 22018204 23288485 27522755 46576970 55045510 60550061 80874557 93153940 110091020 121100122 161749114 242200244 302750305 323498228 404372785 605500610 808745570 889620127 1051369241 1211001220 1617491140 1779240254 2102738482 3558480508 4205476964 4448100635 5256846205 8896201270 10513692410 11565061651 17792402540 21027384820 23130123302 46260246604 57825308255 115650616510 231301233020