Search a number
-
+
233133331531023 = 327113372143465821
BaseRepresentation
bin110101000000100010010101…
…011010010100010100001111
31010120110022212201101122112100
4311000202111122110110033
5221024124030332443043
62143455550213410143
7100051220200413660
oct6500422532242417
91116408781348470
10233133331531023
116831332196a830
1222192975039953
13a0114c03a4981
14417d9db9d9367
151be44edb50cd3
hexd4089569450f

233133331531023 has 96 divisors (see below), whose sum is σ = 421285064159232. Its totient is φ = 120692247782400.

The previous prime is 233133331531013. The next prime is 233133331531057. The reversal of 233133331531023 is 320135133331332.

233133331531023 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 3 + 3 + 315 + 310 + 23 = 666.

It is not a de Polignac number, because 233133331531023 - 26 = 233133331530959 is a prime.

It is a super-2 number, since 2×2331333315310232 (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 (233133331531013) 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, 500245453 + ... + 500711273.

It is an arithmetic number, because the mean of its divisors is an integer number (4388386084992).

Almost surely, 2233133331531023 is an apocalyptic number.

233133331531023 is a deficient number, since it is larger than the sum of its proper divisors (188151732628209).

233133331531023 is a wasteful number, since it uses less digits than its factorization.

233133331531023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468325 (or 468322 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 36.

Adding to 233133331531023 its reverse (320135133331332), we get a palindrome (553268464862355).

The spelling of 233133331531023 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, three hundred thirty-one million, five hundred thirty-one thousand, twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 337 693 1011 2143 2359 3033 3707 6429 7077 11121 15001 19287 21231 23573 25949 33363 45003 70719 77847 135009 165011 212157 233541 465821 495033 722191 1397463 1485099 2166573 3260747 4192389 5055337 5124031 6499719 7944101 9782241 15166011 15372093 23832303 29346723 35868217 45498033 46116279 55608707 71496909 107604651 156981677 166826121 322813953 470945031 500478363 998254403 1098871739 1412835093 1726798447 2994763209 3296615217 5180395341 6987780821 8984289627 9889845651 10980798433 12087589129 15541186023 20963342463 32942395299 36262767387 62890027389 76865589031 98827185897 108788302161 230596767093 336411733811 691790301279 1009235201433 2354882136677 3027705604299 3700529071921 7064646410031 11101587215763 21193939230093 25903703503447 33304761647289 77711110510341 233133331531023