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230433333022211 = 111747971513794723
BaseRepresentation
bin110100011001001111110000…
…111101011000111000000011
31010012220012201011212011100112
4310121033300331120320003
5220200404431223202321
62134031340051141535
766352154543642564
oct6431176075307003
91105805634764315
10230433333022211
1167472256119740
1221a17634ba48ab
139b76a01aa6337
1440c906611216b
151b99176cb2a5b
hexd193f0f58e03

230433333022211 has 128 divisors (see below), whose sum is σ = 277241434767360. Its totient is φ = 189172537344000.

The previous prime is 230433333022169. The next prime is 230433333022237. The reversal of 230433333022211 is 112220333334032.

230433333022211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230433333022211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230433333022271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48789608696 + ... + 48789613418.

It is an arithmetic number, because the mean of its divisors is an integer number (2165948709120).

Almost surely, 2230433333022211 is an apocalyptic number.

230433333022211 is a deficient number, since it is larger than the sum of its proper divisors (46808101745149).

230433333022211 is a wasteful number, since it uses less digits than its factorization.

230433333022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425.

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 230433333022211 its reverse (112220333334032), we get a palindrome (342653666356243).

The spelling of 230433333022211 in words is "two hundred thirty trillion, four hundred thirty-three billion, three hundred thirty-three million, twenty-two thousand, two hundred eleven".

Divisors: 1 11 17 47 97 151 187 379 517 799 1067 1649 1661 2567 4169 4559 4723 6443 7097 8789 14647 17813 18139 28237 36763 50149 51953 57229 70873 77503 78067 80291 120649 161117 195943 221981 248999 302821 404393 458131 624971 629519 688409 713173 852533 883201 972893 1327139 1727861 1790017 2441791 2689763 2738989 3331031 3773677 5039441 5551213 6874681 7572499 7788227 7844903 10701823 11702953 12123941 19006471 19690187 21532157 29373637 29587393 30430289 33519131 41510447 45725971 61063343 69177781 84130799 85670497 94370621 128732483 133363351 173631649 236853727 260907011 270292567 323110007 334733179 366046669 368710441 502985681 569825227 760955591 925438789 1038076831 1176022277 1430223583 1909948139 2869977121 2951738033 2973218237 3251355707 4026513359 4435419187 4594973639 6268077497 8160687503 12703750649 12936245047 15732459413 26218378999 32469118363 35764912777 48789611057 50544710029 55273047019 89767562533 138731687551 139741257139 215963761033 288402168989 445712442983 608003517209 1232263812953 1526048563061 2375601371363 4902836872813 13554901942483 20948484820201 230433333022211