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113333400 = 23325279797
BaseRepresentation
bin1101100000101…
…01010010011000
321220020221012100
412300111102120
5213003132100
615125043400
72544214035
oct660252230
9256227170
10113333400
1158a79074
1231b56560
131a6316ab
14110a238c
159e3a400
hex6c15498

113333400 has 144 divisors (see below), whose sum is σ = 385912800. Its totient is φ = 29802240.

The previous prime is 113333393. The next prime is 113333417. The reversal of 113333400 is 4333311.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141802 + ... + 142598.

It is an arithmetic number, because the mean of its divisors is an integer number (2679950).

Almost surely, 2113333400 is an apocalyptic number.

113333400 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 113333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

113333400 is an abundant number, since it is smaller than the sum of its proper divisors (272579400).

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

113333400 is a wasteful number, since it uses less digits than its factorization.

113333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 113333400 is about 10645.8160795685. The cubic root of 113333400 is about 483.9338183305.

Adding to 113333400 its reverse (4333311), we get a palindrome (117666711).

The spelling of 113333400 in words is "one hundred thirteen million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 79 90 100 120 150 158 180 200 225 237 300 316 360 395 450 474 600 632 711 790 797 900 948 1185 1422 1580 1594 1800 1896 1975 2370 2391 2844 3160 3188 3555 3950 3985 4740 4782 5688 5925 6376 7110 7173 7900 7970 9480 9564 11850 11955 14220 14346 15800 15940 17775 19128 19925 23700 23910 28440 28692 31880 35550 35865 39850 47400 47820 57384 59775 62963 71100 71730 79700 95640 119550 125926 142200 143460 159400 179325 188889 239100 251852 286920 314815 358650 377778 478200 503704 566667 629630 717300 755556 944445 1133334 1259260 1434600 1511112 1574075 1888890 2266668 2518520 2833335 3148150 3777780 4533336 4722225 5666670 6296300 7555560 9444450 11333340 12592600 14166675 18888900 22666680 28333350 37777800 56666700 113333400