Search a number
-
+
230314201332003 = 3341911228378239
BaseRepresentation
bin110100010111100000110100…
…001010000011100100100011
31010012110211012200120020222000
4310113200310022003210203
5220141431441020111003
62133500514453415043
766340436420200605
oct6427406412034443
91105424180506860
10230314201332003
1167426782411618
12219b852803a483
139b686c776b259
1440c33a4237175
151b960031791a3
hexd17834283923

230314201332003 has 32 divisors (see below), whose sum is σ = 349912004198400. Its totient is φ = 149633421537600.

The previous prime is 230314201331987. The next prime is 230314201332013. The reversal of 230314201332003 is 300233102413032.

230314201332003 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 1 + 420 + 1 + 33 + 200 + 3 = 666.

It is not a de Polignac number, because 230314201332003 - 24 = 230314201331987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230314201332013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113180643 + ... + 115197596.

It is an arithmetic number, because the mean of its divisors is an integer number (10934750131200).

Almost surely, 2230314201332003 is an apocalyptic number.

230314201332003 is a deficient number, since it is larger than the sum of its proper divisors (119597802866397).

230314201332003 is a wasteful number, since it uses less digits than its factorization.

230314201332003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228379200 (or 228379194 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230314201332003 its reverse (300233102413032), we get a palindrome (530547303745035).

The spelling of 230314201332003 in words is "two hundred thirty trillion, three hundred fourteen billion, two hundred one million, three hundred thirty-two thousand, three".

Divisors: 1 3 9 27 41 123 369 911 1107 2733 8199 24597 37351 112053 336159 1008477 228378239 685134717 2055404151 6166212453 9363507799 28090523397 84271570191 208052575729 252814710573 624157727187 1872473181561 5617419544683 8530155604889 25590466814667 76771400444001 230314201332003