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113102033310 = 23257383468739
BaseRepresentation
bin110100101010101101…
…0000001000110011110
3101210221021102121002200
41221111122001012132
53323113110031220
6123543001032330
711112526264230
oct1512532010636
9353837377080
10113102033310
1143a6a170702
1219b057856a6
13a886087586
14568d18a250
152e1e5e3890
hex1a5568119e

113102033310 has 96 divisors (see below), whose sum is σ = 336952811520. Its totient is φ = 25784339904.

The previous prime is 113102033263. The next prime is 113102033333. The reversal of 113102033310 is 13330201311.

It is a happy number.

113102033310 is a `hidden beast` number, since 1 + 1 + 310 + 20 + 3 + 331 + 0 = 666.

113102033310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131020333102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6921 + ... + 475659.

It is an arithmetic number, because the mean of its divisors is an integer number (3509925120).

Almost surely, 2113102033310 is an apocalyptic number.

113102033310 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 113102033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168476405760).

113102033310 is an abundant number, since it is smaller than the sum of its proper divisors (223850778210).

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

113102033310 is a wasteful number, since it uses less digits than its factorization.

113102033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469142 (or 469139 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113102033310 its reverse (13330201311), we get a palindrome (126432234621).

The spelling of 113102033310 in words is "one hundred thirteen billion, one hundred two million, thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 383 630 766 1149 1915 2298 2681 3447 3830 5362 5745 6894 8043 11490 13405 16086 17235 24129 26810 34470 40215 48258 80430 120645 241290 468739 937478 1406217 2343695 2812434 3281173 4218651 4687390 6562346 7031085 8437302 9843519 14062170 16405865 19687038 21093255 29530557 32811730 42186510 49217595 59061114 98435190 147652785 179527037 295305570 359054074 538581111 897635185 1077162222 1256689259 1615743333 1795270370 2513378518 2692905555 3231486666 3770067777 5385811110 6283446295 7540135554 8078716665 11310203331 12566892590 16157433330 18850338885 22620406662 37700677770 56551016655 113102033310