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234431230033 = 721113318313003
BaseRepresentation
bin1101101001010100110…
…0001011000001010001
3211102002220201101201101
43122111030023001101
512320103343330113
6255410214504401
722636265401600
oct3322514130121
9742086641641
10234431230033
1190470354a10
1239526665101
1319150760080
14b4bcc53a37
1561711052dd
hex369530b051

234431230033 has 96 divisors (see below), whose sum is σ = 334726705152. Its totient is φ = 161203996800.

The previous prime is 234431230031. The next prime is 234431230037. The reversal of 234431230033 is 330032134432.

It is a happy number.

It is not a de Polignac number, because 234431230033 - 21 = 234431230031 is a prime.

It is a super-2 number, since 2×2344312300332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234431229983 and 234431230010.

It is not an unprimeable number, because it can be changed into a prime (234431230031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18022510 + ... + 18035512.

It is an arithmetic number, because the mean of its divisors is an integer number (3486736512).

Almost surely, 2234431230033 is an apocalyptic number.

It is an amenable number.

234431230033 is a deficient number, since it is larger than the sum of its proper divisors (100295475119).

234431230033 is a wasteful number, since it uses less digits than its factorization.

234431230033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13155 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 234431230033 its reverse (330032134432), we get a palindrome (564463364465).

It can be divided in two parts, 234431 and 230033, that added together give a palindrome (464464).

The spelling of 234431230033 in words is "two hundred thirty-four billion, four hundred thirty-one million, two hundred thirty thousand, thirty-three".

Divisors: 1 7 11 13 31 49 77 83 91 143 217 341 403 539 581 637 913 1001 1079 1519 2387 2573 2821 4067 4433 6391 7007 7553 11869 13003 16709 18011 19747 28303 31031 33449 44737 52871 83083 91021 126077 143033 169039 198121 217217 234143 367939 403093 581581 637147 1001231 1079249 1183273 1386847 1639001 1859429 2575573 2821651 4434023 5240209 7008617 7554743 8282911 11871739 13016003 14030237 18029011 19751557 31038161 33456719 36681463 52883201 57642299 83102173 91112021 98211659 154332607 217267127 234197033 256770241 368023909 403496093 434937347 581715211 687481613 1080328249 1639379231 2576167363 2824472651 3044561429 4784310817 7562297743 18033171541 21311930003 33490175719 234431230033