Search a number
-
+
231313202320 = 24517280360679
BaseRepresentation
bin1101011101101101010…
…1110101110010010000
3211010001121121011210111
43113123111311302100
512242212134433240
6254132552411104
722466104531024
oct3273325656220
9733047534714
10231313202320
118a1102aa602
12389b63a6a94
1318a74792565
14b2a4ac6384
15603c4ea1ea
hex35db575c90

231313202320 has 80 divisors (see below), whose sum is σ = 569651218560. Its totient is φ = 87050115072.

The previous prime is 231313202221. The next prime is 231313202321. The reversal of 231313202320 is 23202313132.

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 = 231313202291 and 231313202300.

It is not an unprimeable number, because it can be changed into a prime (231313202321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3781741 + ... + 3842419.

It is an arithmetic number, because the mean of its divisors is an integer number (7120640232).

Almost surely, 2231313202320 is an apocalyptic number.

231313202320 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 231313202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284825609280).

231313202320 is an abundant number, since it is smaller than the sum of its proper divisors (338338016240).

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

231313202320 is a wasteful number, since it uses less digits than its factorization.

231313202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63512 (or 63506 counting only the distinct ones).

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

Adding to 231313202320 its reverse (23202313132), we get a palindrome (254515515452).

The spelling of 231313202320 in words is "two hundred thirty-one billion, three hundred thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2803 5606 11212 14015 22424 28030 44848 47651 56060 60679 95302 112120 121358 190604 224240 238255 242716 303395 381208 476510 485432 606790 762416 953020 970864 1031543 1213580 1906040 2063086 2427160 3812080 4126172 4854320 5157715 8252344 10315430 16504688 20630860 41261720 82523440 170083237 340166474 680332948 850416185 1360665896 1700832370 2721331792 2891415029 3401664740 5782830058 6803329480 11565660116 13606658960 14457075145 23131320232 28914150290 46262640464 57828300580 115656601160 231313202320