Search a number
-
+
231110223030 = 23451014096907
BaseRepresentation
bin1101011100111100111…
…1100010010010110110
3211002112110122202120000
43113033033202102312
512241303204114110
6254100502052130
722461061324461
oct3271717422266
9732473582500
10231110223030
118a016772225
123895a41a046
1318a4170417b
14b285b6a2d8
1560297a31c0
hex35cf3e24b6

231110223030 has 160 divisors (see below), whose sum is σ = 629207995680. Its totient is φ = 60861196800.

The previous prime is 231110223013. The next prime is 231110223037. The reversal of 231110223030 is 30322011132.

231110223030 is a `hidden beast` number, since 231 + 110 + 22 + 303 + 0 = 666.

231110223030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231110222994 and 231110223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231110223037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33456837 + ... + 33463743.

It is an arithmetic number, because the mean of its divisors is an integer number (3932549973).

Almost surely, 2231110223030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231110223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314603997840).

231110223030 is an abundant number, since it is smaller than the sum of its proper divisors (398097772650).

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

231110223030 is a wasteful number, since it uses less digits than its factorization.

231110223030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231110223030 its reverse (30322011132), we get a palindrome (261432234162).

The spelling of 231110223030 in words is "two hundred thirty-one billion, one hundred ten million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 409 505 606 810 818 909 1010 1227 1515 1818 2045 2454 2727 3030 3681 4090 4545 5454 6135 6907 7362 8181 9090 11043 12270 13635 13814 16362 18405 20721 22086 27270 33129 34535 36810 40905 41309 41442 55215 62163 66258 69070 81810 82618 103605 110430 123927 124326 165645 186489 206545 207210 247854 310815 331290 371781 372978 413090 559467 619635 621630 697607 743562 932445 1115343 1118934 1239270 1395214 1858905 1864890 2092821 2230686 2797335 2824963 3346029 3488035 3717810 4185642 5576715 5594670 5649926 6278463 6692058 6976070 8474889 10464105 11153430 12556926 14124815 16730145 16949778 18835389 20928210 25424667 28249630 31392315 33460290 37670778 42374445 50849334 56506167 62784630 76274001 84748890 94176945 113012334 127123335 152548002 188353890 228822003 254246670 282530835 285321263 381370005 457644006 565061670 570642526 762740010 855963789 1144110015 1426606315 1711927578 2288220030 2567891367 2853212630 4279818945 5135782734 7703674101 8559637890 12839456835 15407348202 23111022303 25678913670 38518370505 46222044606 77036741010 115555111515 231110223030