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2300023712331 = 323140920156021
BaseRepresentation
bin100001011110000100000…
…110001010101001001011
322010212202121101120220200
4201132010012022221023
5300140422032243311
64520341042223243
7325112505660522
oct41360406125113
98125677346820
102300023712331
11807486473554
12311915354b23
13138b78276037
147d470c054b9
153ec677c2556
hex2178418aa4b

2300023712331 has 24 divisors (see below), whose sum is σ = 3437811112320. Its totient is φ = 1480258108800.

The previous prime is 2300023712321. The next prime is 2300023712339. The reversal of 2300023712331 is 1332173200032.

2300023712331 is a `hidden beast` number, since 2 + 300 + 0 + 23 + 7 + 1 + 2 + 331 = 666.

It is not a de Polignac number, because 2300023712331 - 29 = 2300023711819 is a prime.

It is a super-2 number, since 2×23000237123312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300023712295 and 2300023712304.

It is not an unprimeable number, because it can be changed into a prime (2300023712339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9963900 + ... + 10192121.

It is an arithmetic number, because the mean of its divisors is an integer number (143242129680).

Almost surely, 22300023712331 is an apocalyptic number.

2300023712331 is a deficient number, since it is larger than the sum of its proper divisors (1137787399989).

2300023712331 is a wasteful number, since it uses less digits than its factorization.

2300023712331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156467 (or 20156464 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 2300023712331 its reverse (1332173200032), we get a palindrome (3632196912363).

The spelling of 2300023712331 in words is "two trillion, three hundred billion, twenty-three million, seven hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 31 93 279 409 1227 3681 12679 38037 114111 20156021 60468063 181404189 624836651 1874509953 5623529859 8243812589 24731437767 74194313301 255558190259 766674570777 2300023712331