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231301323220 = 225114324450457
BaseRepresentation
bin1101011101101010100…
…0100001100111010100
3211010000210020122201211
43113122220201213110
512242201114320340
6254131450031204
722465601544052
oct3273250414724
9733023218654
10231301323220
118a104626670
12389b2418504
1318a721935c6
14b2a32b31d2
15603b4505ea
hex35daa219d4

231301323220 has 48 divisors (see below), whose sum is σ = 542213356608. Its totient is φ = 82153532160.

The previous prime is 231301323199. The next prime is 231301323269. The reversal of 231301323220 is 22323103132.

231301323220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313013232202 (a number of 24 digits) contains 22 as substring.

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 = 231301323191 and 231301323200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12215769 + ... + 12234688.

It is an arithmetic number, because the mean of its divisors is an integer number (11296111596).

Almost surely, 2231301323220 is an apocalyptic number.

231301323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231301323220 is an abundant number, since it is smaller than the sum of its proper divisors (310912033388).

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

231301323220 is a wasteful number, since it uses less digits than its factorization.

231301323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24450520 (or 24450518 counting only the distinct ones).

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

Adding to 231301323220 its reverse (22323103132), we get a palindrome (253624426352).

The spelling of 231301323220 in words is "two hundred thirty-one billion, three hundred one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 24450457 48900914 97801828 122252285 244504570 268955027 489009140 537910054 1051369651 1075820108 1344775135 2102739302 2689550270 4205478604 5256848255 5379100540 10513696510 11565066161 21027393020 23130132322 46260264644 57825330805 115650661610 231301323220