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230456112561 = 3233533763613
BaseRepresentation
bin1101011010100001000…
…0010011010110110001
3211000211212211111200100
43112220100103112301
512233433231100221
6253511534143013
722435626431043
oct3265020232661
9730755744610
10230456112561
1189810516364
12387b7351a69
131896904125c
14b222d39a93
155edc147926
hex35a84135b1

230456112561 has 12 divisors (see below), whose sum is σ = 332891414388. Its totient is φ = 153632625504.

The previous prime is 230456112541. The next prime is 230456112617. The reversal of 230456112561 is 165211654032.

230456112561 is a `hidden beast` number, since 2 + 30 + 4 + 5 + 61 + 1 + 2 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147076085025 + 83380027536 = 383505^2 + 288756^2 .

It is not a de Polignac number, because 230456112561 - 221 = 230454015409 is a prime.

It is a super-2 number, since 2×2304561125612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230456112541) 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 11 ways as a sum of consecutive naturals, for example, 80010 + ... + 683603.

It is an arithmetic number, because the mean of its divisors is an integer number (27740951199).

Almost surely, 2230456112561 is an apocalyptic number.

It is an amenable number.

230456112561 is a deficient number, since it is larger than the sum of its proper divisors (102435301827).

230456112561 is a wasteful number, since it uses less digits than its factorization.

230456112561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797152 (or 797149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 230456112561 its reverse (165211654032), we get a palindrome (395667766593).

The spelling of 230456112561 in words is "two hundred thirty billion, four hundred fifty-six million, one hundred twelve thousand, five hundred sixty-one".

Divisors: 1 3 9 33533 100599 301797 763613 2290839 6872517 25606234729 76818704187 230456112561