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113111223330 = 235737103914011
BaseRepresentation
bin110100101010111110…
…1000100110000100010
3101210221220201111102210
41221111331010300202
53323122433121310
6123543530022550
711113000351260
oct1512575046042
9353856644383
10113111223330
1143a74378266
1219b08877a56
13a887c54561
14569049d430
152e2030b820
hex1a55f44c22

113111223330 has 128 divisors (see below), whose sum is σ = 318962442240. Its totient is φ = 25129232640.

The previous prime is 113111223257. The next prime is 113111223397. The reversal of 113111223330 is 33322111311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113111223297 and 113111223306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8066025 + ... + 8080035.

It is an arithmetic number, because the mean of its divisors is an integer number (2491894080).

Almost surely, 2113111223330 is an apocalyptic number.

113111223330 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 113111223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159481221120).

113111223330 is an abundant number, since it is smaller than the sum of its proper divisors (205851218910).

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

113111223330 is a wasteful number, since it uses less digits than its factorization.

113111223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113111223330 its reverse (33322111311), we get a palindrome (146433334641).

The spelling of 113111223330 in words is "one hundred thirteen billion, one hundred eleven million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1039 1110 1295 1554 2078 2590 3117 3885 5195 6234 7273 7770 10390 14011 14546 15585 21819 28022 31170 36365 38443 42033 43638 70055 72730 76886 84066 98077 109095 115329 140110 192215 196154 210165 218190 230658 269101 294231 384430 420330 490385 518407 538202 576645 588462 807303 980770 1036814 1153290 1345505 1471155 1555221 1614606 2592035 2691010 2942310 3110442 3628849 4036515 5184070 7257698 7776105 8073030 10886547 14557429 15552210 18144245 21773094 29114858 36288490 43672287 54432735 72787145 87344574 101902003 108865470 145574290 203804006 218361435 305706009 436722870 509510015 538624873 611412018 1019020030 1077249746 1528530045 1615874619 2693124365 3057060090 3231749238 3770374111 5386248730 7540748222 8079373095 11311122333 16158746190 18851870555 22622244666 37703741110 56555611665 113111223330