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230323102032030 = 235717191333725183
BaseRepresentation
bin110100010111101001000110…
…101011100010000010011110
31010012111200011222210200000120
4310113221012223202002132
5220142103203110011110
62133504550010335410
766341203115663430
oct6427510653420236
91105450158720016
10230323102032030
116742a52a64a257
12219ba1b0a2a566
139b694b5791567
1440c39aa3a0650
151b9637478d870
hexd17a46ae209e

230323102032030 has 128 divisors (see below), whose sum is σ = 669254422560768. Its totient is φ = 49522596851712.

The previous prime is 230323102032029. The next prime is 230323102032071. The reversal of 230323102032030 is 30230201323032.

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 63 ways as a sum of consecutive naturals, for example, 10033182 + ... + 23692001.

It is an arithmetic number, because the mean of its divisors is an integer number (5228550176256).

Almost surely, 2230323102032030 is an apocalyptic number.

230323102032030 is an abundant number, since it is smaller than the sum of its proper divisors (438931320528738).

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

230323102032030 is a wasteful number, since it uses less digits than its factorization.

230323102032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33727130.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230323102032030 its reverse (30230201323032), we get a palindrome (260553303355062).

The spelling of 230323102032030 in words is "two hundred thirty trillion, three hundred twenty-three billion, one hundred two million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 1913 3570 3826 5739 9565 11478 13391 19130 26782 28695 32521 40173 57390 65042 66955 80346 97563 133910 162605 195126 200865 227647 325210 401730 455294 487815 682941 975630 1138235 1365882 2276470 3414705 6829410 33725183 67450366 101175549 168625915 202351098 236076281 337251830 472152562 505877745 573328111 708228843 1011755490 1146656222 1180381405 1416457686 1719984333 2360762810 2866640555 3439968666 3541144215 4013296777 5733281110 7082288430 8026593554 8599921665 12039890331 17199843330 20066483885 24079780662 40132967770 60199451655 64516275079 120398903310 129032550158 193548825237 322581375395 387097650474 451613925553 645162750790 903227851106 967744126185 1096776676343 1354841776659 1935488252370 2193553352686 2258069627765 2709683553318 3290330029029 4516139255530 5483883381715 6580660058058 6774208883295 7677436734401 10967766763430 13548417766590 15354873468802 16451650145145 23032310203203 32903300290290 38387183672005 46064620406406 76774367344010 115161551016015 230323102032030