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230211100320 = 2535479606459
BaseRepresentation
bin1101011001100110100…
…1101001111010100000
3211000012210210121001220
43112121221221322200
512232433020202240
6253431342455040
722426563031455
oct3263151517240
9730183717056
10230211100320
11896a518a003
1238749294480
131892a356bb6
14b1dc59b82c
155ec589b5d0
hex3599a69ea0

230211100320 has 48 divisors (see below), whose sum is σ = 725164967520. Its totient is φ = 61389626624.

The previous prime is 230211100313. The next prime is 230211100331. The reversal of 230211100320 is 23001112032.

230211100320 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230211100320.

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 7 ways as a sum of consecutive naturals, for example, 239802750 + ... + 239803709.

It is an arithmetic number, because the mean of its divisors is an integer number (15107603490).

Almost surely, 2230211100320 is an apocalyptic number.

230211100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230211100320 is an abundant number, since it is smaller than the sum of its proper divisors (494953867200).

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

230211100320 is a wasteful number, since it uses less digits than its factorization.

230211100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479606477 (or 479606469 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230211100320 its reverse (23001112032), we get a palindrome (253212212352).

The spelling of 230211100320 in words is "two hundred thirty billion, two hundred eleven million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 479606459 959212918 1438819377 1918425836 2398032295 2877638754 3836851672 4796064590 5755277508 7194096885 7673703344 9592129180 11510555016 14388193770 15347406688 19184258360 23021110032 28776387540 38368516720 46042220064 57552775080 76737033440 115105550160 230211100320