Search a number
-
+
232235513443101 = 37261136119029323
BaseRepresentation
bin110100110011011110001011…
…010010000111001100011101
31010110021111110020021011222110
4310303132023102013030131
5220414421312420134401
62141531304432104233
766626314342526100
oct6463361322071435
91113244406234873
10232235513443101
1167aa7589a75863
122206896b695079
139c7793a9861cc
14414c38a302737
151bcaea2e6b9d6
hexd3378b48731d

232235513443101 has 48 divisors (see below), whose sum is σ = 366375989775168. Its totient is φ = 130434584716800.

The previous prime is 232235513443099. The next prime is 232235513443103. The reversal of 232235513443101 is 101344315532232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232235513443099) and next prime (232235513443103).

It is not a de Polignac number, because 232235513443101 - 21 = 232235513443099 is a prime.

It is a super-3 number, since 3×2322355134431013 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232235513443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232235513443103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689426 + ... + 21718748.

It is an arithmetic number, because the mean of its divisors is an integer number (7632833120316).

Almost surely, 2232235513443101 is an apocalyptic number.

232235513443101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232235513443101 is a deficient number, since it is larger than the sum of its proper divisors (134140476332067).

232235513443101 is a wasteful number, since it uses less digits than its factorization.

232235513443101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19030762 (or 19030755 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 232235513443101 its reverse (101344315532232), we get a palindrome (333579828975333).

The spelling of 232235513443101 in words is "two hundred thirty-two trillion, two hundred thirty-five billion, five hundred thirteen million, four hundred forty-three thousand, one hundred one".

Divisors: 1 3 7 21 49 61 147 183 427 1281 1361 2989 4083 8967 9527 28581 66689 83021 200067 249063 581147 1743441 4068029 12204087 19029323 57087969 133205261 399615783 932436827 1160788703 2797310481 3482366109 8125520921 24376562763 25898908603 56878646447 77696725809 170635939341 181292360221 543877080663 1269046521547 1579833424783 3807139564641 4739500274349 11058833973481 33176501920443 77411837814367 232235513443101