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230042617431 = 31128813241939
BaseRepresentation
bin1101011000111110011…
…0111100011001010111
3210222210001202202222220
43112033212330121113
512232111402224211
6253402523353423
722422445661634
oct3261746743127
9728701682886
10230042617431
1189619073350
1238700982873
1318901486293
14b1c406118b
155eb5bba806
hex358f9bc657

230042617431 has 16 divisors (see below), whose sum is σ = 334620439680. Its totient is φ = 139414353120.

The previous prime is 230042617423. The next prime is 230042617433. The reversal of 230042617431 is 134716240032.

It is not a de Polignac number, because 230042617431 - 23 = 230042617423 is a prime.

It is a super-2 number, since 2×2300426174312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 230042617392 and 230042617401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230042617433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829860 + ... + 1071798.

It is an arithmetic number, because the mean of its divisors is an integer number (20913777480).

Almost surely, 2230042617431 is an apocalyptic number.

230042617431 is a deficient number, since it is larger than the sum of its proper divisors (104577822249).

230042617431 is a wasteful number, since it uses less digits than its factorization.

230042617431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270766.

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 230042617431 its reverse (134716240032), we get a palindrome (364758857463).

The spelling of 230042617431 in words is "two hundred thirty billion, forty-two million, six hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 28813 86439 241939 316943 725817 950829 2661329 7983987 6970988407 20912965221 76680872477 230042617431