Search a number
-
+
232301310331000 = 2353632336739097
BaseRepresentation
bin110100110100011011011101…
…000101010100100001111000
31010110111210021201201101222111
4310310123131011110201320
5220422011040421043000
62142021425415502104
766634134012043441
oct6464333505244170
91113453251641874
10232301310331000
1168022483665569
1222079672987934
139c80bc53a5481
14415162ca122c8
151bcca54585cba
hexd346dd154878

232301310331000 has 64 divisors (see below), whose sum is σ = 543671050459680. Its totient is φ = 92905825964800.

The previous prime is 232301310330983. The next prime is 232301310331043. The reversal of 232301310331000 is 133013103232.

It is a super-2 number, since 2×2323013103310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 12046549 + ... + 24692548.

Almost surely, 2232301310331000 is an apocalyptic number.

232301310331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232301310331000 is an abundant number, since it is smaller than the sum of its proper divisors (311369740128680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232301310331000 is a wasteful number, since it uses less digits than its factorization.

232301310331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36745441 (or 36745427 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 232301310331000 its reverse (133013103232), we get a palindrome (232434323434232).

The spelling of 232301310331000 in words is "two hundred thirty-two trillion, three hundred one billion, three hundred ten million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6323 12646 25292 31615 50584 63230 126460 158075 252920 316150 632300 790375 1264600 1580750 3161500 6323000 36739097 73478194 146956388 183695485 293912776 367390970 734781940 918477425 1469563880 1836954850 3673909700 4592387125 7347819400 9184774250 18369548500 36739097000 232301310331 464602620662 929205241324 1161506551655 1858410482648 2323013103310 4646026206620 5807532758275 9292052413240 11615065516550 23230131033100 29037663791375 46460262066200 58075327582750 116150655165500 232301310331000