Search a number
-
+
230033210230101 = 31755212595131481
BaseRepresentation
bin110100010011011011000111…
…110010000100010101010101
31010011110221220221020022020210
4310103123013302010111111
5220122331003304330401
62133123444203120033
766311231251221225
oct6423330762042525
91104427827208223
10230033210230101
116732859a248863
1221971b88813019
139b48066ba4255
1440b3949908085
151b8da597114d6
hexd136c7c84555

230033210230101 has 32 divisors (see below), whose sum is σ = 324834423192576. Its totient is φ = 144298275840000.

The previous prime is 230033210230051. The next prime is 230033210230121. The reversal of 230033210230101 is 101032012330032.

It is not a de Polignac number, because 230033210230101 - 27 = 230033210229973 is a prime.

It is a super-2 number, since 2×2300332102301012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230033210230121) 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 31 ways as a sum of consecutive naturals, for example, 7307033281 + ... + 7307064761.

It is an arithmetic number, because the mean of its divisors is an integer number (10151075724768).

Almost surely, 2230033210230101 is an apocalyptic number.

It is an amenable number.

230033210230101 is a deficient number, since it is larger than the sum of its proper divisors (94801212962475).

230033210230101 is a wasteful number, since it uses less digits than its factorization.

230033210230101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62973.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230033210230101 its reverse (101032012330032), we get a palindrome (331065222560133).

The spelling of 230033210230101 in words is "two hundred thirty trillion, thirty-three billion, two hundred ten million, two hundred thirty thousand, one hundred one".

Divisors: 1 3 17 51 5521 16563 25951 31481 77853 93857 94443 281571 441167 535177 1323501 1605531 143275471 173806601 429826413 521419803 816963431 2435683007 2450890293 2954712217 7307049021 8864136651 13888378327 41665134981 4510455102551 13531365307653 76677736743367 230033210230101