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113313303300 = 223524315795563
BaseRepresentation
bin110100110000111111…
…1111100101100000100
3101211110222222020001010
41221201333330230010
53324031201201200
6124015545202220
711121003120561
oct1514177745404
9354428866033
10113313303300
11440684509aa
1219b64490370
13a8baa894c2
1456ad263868
152e32e27150
hex1a61ffcb04

113313303300 has 144 divisors (see below), whose sum is σ = 335750455040. Its totient is φ = 29490168960.

The previous prime is 113313303283. The next prime is 113313303407. The reversal of 113313303300 is 3303313311.

113313303300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20366319 + ... + 20371881.

Almost surely, 2113313303300 is an apocalyptic number.

113313303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113313303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167875227520).

113313303300 is an abundant number, since it is smaller than the sum of its proper divisors (222437151740).

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

113313303300 is a wasteful number, since it uses less digits than its factorization.

113313303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 113313303300 its reverse (3303313311), we get a palindrome (116616616611).

The spelling of 113313303300 in words is "one hundred thirteen billion, three hundred thirteen million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 1579 2150 2580 3158 3225 4300 4737 5563 6316 6450 7895 9474 11126 12900 15790 16689 18948 22252 23685 27815 31580 33378 39475 47370 55630 66756 67897 78950 83445 94740 111260 118425 135794 139075 157900 166890 203691 236850 239209 271588 278150 333780 339485 407382 417225 473700 478418 556300 678970 717627 814764 834450 956836 1018455 1196045 1357940 1435254 1668900 1697425 2036910 2392090 2870508 3394850 3588135 4073820 4784180 5092275 5980225 6789700 7176270 8783977 10184550 11960450 14352540 17567954 17940675 20369100 23920900 26351931 35135908 35881350 43919885 52703862 71762700 87839770 105407724 131759655 175679540 219599425 263519310 377711011 439198850 527038620 658798275 755422022 878397700 1133133033 1317596550 1510844044 1888555055 2266266066 2635193100 3777110110 4532532132 5665665165 7554220220 9442775275 11331330330 18885550550 22662660660 28328325825 37771101100 56656651650 113313303300