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110111331321030 = 235131995992368577
BaseRepresentation
bin11001000010010101001010…
…110010100000010011000110
3112102212112121000001212121110
4121002111022302200103012
5103413031001304233110
61030104240340225450
732123165303240454
oct3102251262402306
9472775530055543
10110111331321030
11320a2a53a30516
121042439209b286
1349595b9551690
141d295b9c799d4
15cae3ad635a20
hex64254aca04c6

110111331321030 has 128 divisors (see below), whose sum is σ = 286503194880000. Its totient is φ = 26923091779584.

The previous prime is 110111331321029. The next prime is 110111331321091. The reversal of 110111331321030 is 30123133111011.

It is a junction number, because it is equal to n+sod(n) for n = 110111331320988 and 110111331321006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45304102 + ... + 47672678.

It is an arithmetic number, because the mean of its divisors is an integer number (2238306210000).

Almost surely, 2110111331321030 is an apocalyptic number.

110111331321030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110111331321030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143251597440000).

110111331321030 is an abundant number, since it is smaller than the sum of its proper divisors (176391863558970).

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

110111331321030 is a wasteful number, since it uses less digits than its factorization.

110111331321030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369398.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 110111331321030 its reverse (30123133111011), we get a palindrome (140234464432041).

The spelling of 110111331321030 in words is "one hundred ten trillion, one hundred eleven billion, three hundred thirty-one million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 597 599 995 1194 1198 1797 1990 2587 2985 2995 3594 5174 5970 5990 7761 7787 8985 12935 15522 15574 17970 23361 25870 38805 38935 46722 77610 77870 116805 119201 233610 238402 357603 596005 715206 1192010 1549613 1788015 2368577 3099226 3576030 4648839 4737154 7105731 7748065 9297678 11842885 14211462 15496130 23244195 23685770 30791501 35528655 46488390 61583002 71057310 92374503 153957505 184749006 307915010 461872515 471346823 923745030 942693646 1414040469 1418777623 2356734115 2828080938 2837555246 4256332869 4713468230 6127508699 7070202345 7093888115 8512665738 12255017398 14140404690 14187776230 18382526097 18444109099 21281664345 30637543495 36765052194 36888218198 42563328690 55332327297 61275086990 91912630485 92220545495 110664654594 183825260970 184441090990 276661636485 282336746977 553323272970 564673493954 847010240931 1411683734885 1694020481862 2823367469770 3670377710701 4235051204655 7340755421402 8470102409310 11011133132103 18351888553505 22022266264206 36703777107010 55055665660515 110111331321030