Search a number
-
+
231130233011232 = 25332388971119779
BaseRepresentation
bin110100100011011000110011…
…011011110111110000100000
31010022100211112100010200111000
4310203120303123313300200
5220243314204122324412
62135323432504352000
766453415432054332
oct6443306333676040
91108324470120430
10231130233011232
1167710865a89195
1221b0a707475600
139bc7644c13249
144110a97819452
151bac363b1d4dc
hexd236336f7c20

231130233011232 has 96 divisors (see below), whose sum is σ = 674133270148800. Its totient is φ = 77043019705344.

The previous prime is 231130233011213. The next prime is 231130233011297. The reversal of 231130233011232 is 232110332031132.

231130233011232 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 302 + 330 + 1 + 1 + 23 + 2 = 666.

231130233011232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2311302330112322 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231130233011196 and 231130233011205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205847119 + ... + 206966897.

It is an arithmetic number, because the mean of its divisors is an integer number (7022221564050).

Almost surely, 2231130233011232 is an apocalyptic number.

It is an amenable number.

231130233011232 is an abundant number, since it is smaller than the sum of its proper divisors (443003037137568).

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

231130233011232 is a wasteful number, since it uses less digits than its factorization.

231130233011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358695 (or 1358681 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 231130233011232 its reverse (232110332031132), we get a palindrome (463240565042364).

The spelling of 231130233011232 in words is "two hundred thirty-one trillion, one hundred thirty billion, two hundred thirty-three million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 238897 477794 716691 955588 1119779 1433382 1911176 2150073 2239558 2866764 3359337 3822352 4300146 4479116 5733528 6450219 6718674 7644704 8600292 8958232 10078011 11467056 12900438 13437348 17200584 17916464 20156022 22934112 25800876 26874696 30234033 34401168 35832928 40312044 51601752 53749392 60468066 68802336 80624088 103203504 107498784 120936132 161248176 206407008 241872264 322496352 483744528 967489056 267511843763 535023687526 802535531289 1070047375052 1605071062578 2140094750104 2407606593867 3210142125156 4280189500208 4815213187734 6420284250312 7222819781601 8560379000416 9630426375468 12840568500624 14445639563202 19260852750936 25681137001248 28891279126404 38521705501872 57782558252808 77043411003744 115565116505616 231130233011232