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113252300 = 225271731307
BaseRepresentation
bin1101100000000…
…01011111001100
321220002210221122
412300001133030
5212443033200
615123220112
72543425430
oct660013714
9256083848
10113252300
1158a23147
1231b17638
131a6037c5
14110809c0
159e21385
hex6c017cc

113252300 has 144 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 35251200.

The previous prime is 113252297. The next prime is 113252303. The reversal of 113252300 is 3252311.

It is an interprime number because it is at equal distance from previous prime (113252297) and next prime (113252303).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (113252303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368747 + ... + 369053.

It is an arithmetic number, because the mean of its divisors is an integer number (2138752).

Almost surely, 2113252300 is an apocalyptic number.

113252300 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 113252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

113252300 is an abundant number, since it is smaller than the sum of its proper divisors (194727988).

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

113252300 is a wasteful number, since it uses less digits than its factorization.

113252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 113252300 is about 10642.0063897744. The cubic root of 113252300 is about 483.8183584045.

The spelling of 113252300 in words is "one hundred thirteen million, two hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 31 34 35 50 62 68 70 85 100 119 124 140 155 170 175 217 238 307 310 340 350 425 434 476 527 595 614 620 700 775 850 868 1054 1085 1190 1228 1535 1550 1700 2108 2149 2170 2380 2635 2975 3070 3100 3689 4298 4340 5219 5270 5425 5950 6140 7378 7675 8596 9517 10438 10540 10745 10850 11900 13175 14756 15350 18445 19034 20876 21490 21700 26095 26350 30700 36533 36890 38068 42980 47585 52190 52700 53725 66619 73066 73780 92225 95170 104380 107450 130475 133238 146132 161789 182665 184450 190340 214900 237925 260950 266476 323578 333095 365330 368900 475850 521900 647156 666190 730660 808945 913325 951700 1132523 1332380 1617890 1665475 1826650 2265046 3235780 3330950 3653300 4044725 4530092 5662615 6661900 8089450 11325230 16178900 22650460 28313075 56626150 113252300