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231300422320 = 245111991320811
BaseRepresentation
bin1101011101101010010…
…1000101101010110000
3211010000201112212221011
43113122211011222300
512242200402003240
6254131414440304
722465561102402
oct3273245055260
9733021485834
10231300422320
118a104070820
12389b2063094
1318a71c39526
14b2a311ab72
15603b3236ea
hex35da945ab0

231300422320 has 80 divisors (see below), whose sum is σ = 589610476800. Its totient is φ = 83686521600.

The previous prime is 231300422257. The next prime is 231300422329. The reversal of 231300422320 is 23224003132.

231300422320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231300422291 and 231300422300.

It is not an unprimeable number, because it can be changed into a prime (231300422329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485286 + ... + 835525.

It is an arithmetic number, because the mean of its divisors is an integer number (7370130960).

Almost surely, 2231300422320 is an apocalyptic number.

231300422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231300422320 is an abundant number, since it is smaller than the sum of its proper divisors (358310054480).

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

231300422320 is a wasteful number, since it uses less digits than its factorization.

231300422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321034 (or 1321028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 231300422320 its reverse (23224003132), we get a palindrome (254524425452).

The spelling of 231300422320 in words is "two hundred thirty-one billion, three hundred million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1592 1990 2189 3184 3980 4378 7960 8756 10945 15920 17512 21890 35024 43780 87560 175120 1320811 2641622 5283244 6604055 10566488 13208110 14528921 21132976 26416220 29057842 52832440 58115684 72644605 105664880 116231368 145289210 232462736 262841389 290578420 525682778 581156840 1051365556 1162313680 1314206945 2102731112 2628413890 2891255279 4205462224 5256827780 5782510558 10513655560 11565021116 14456276395 21027311120 23130042232 28912552790 46260084464 57825105580 115650211160 231300422320