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231234320000 = 27542890429
BaseRepresentation
bin1101011101011010100…
…0111011011010000000
3211002212010011112121002
43113112220323122000
512242031441220000
6254121053551132
722464126201305
oct3272650733200
9732763145532
10231234320000
118a07a822102
1238993aa54a8
1318a61333b28
14b2984310ac
1560356178d5
hex35d6a3b680

231234320000 has 80 divisors (see below), whose sum is σ = 575643586650. Its totient is φ = 92493696000.

The previous prime is 231234319933. The next prime is 231234320041. The reversal of 231234320000 is 23432132.

231234320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 44036183104 + 187198136896 = 209848^2 + 432664^2 .

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 (20).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1365215 + ... + 1525214.

Almost surely, 2231234320000 is an apocalyptic number.

231234320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231234320000 is an abundant number, since it is smaller than the sum of its proper divisors (344409266650).

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

231234320000 is an frugal number, since it uses more digits than its factorization.

231234320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890463 (or 2890436 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 231234320000 its reverse (23432132), we get a palindrome (231257752132).

The spelling of 231234320000 in words is "two hundred thirty-one billion, two hundred thirty-four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 2890429 5780858 11561716 14452145 23123432 28904290 46246864 57808580 72260725 92493728 115617160 144521450 184987456 231234320 289042900 361303625 369974912 462468640 578085800 722607250 924937280 1156171600 1445214500 1806518125 1849874560 2312343200 2890429000 3613036250 4624686400 5780858000 7226072500 9249372800 11561716000 14452145000 23123432000 28904290000 46246864000 57808580000 115617160000 231234320000