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112253130 = 232511711597
BaseRepresentation
bin1101011000011…
…01100011001010
321211020001100100
412230031203022
5212214100010
615045550230
72532064413
oct654154312
9254201310
10112253130
1158400490
1231715376
131a343a92
1410ca080a
159cc52c0
hex6b0d8ca

112253130 has 96 divisors (see below), whose sum is σ = 323077248. Its totient is φ = 26812800.

The previous prime is 112253129. The next prime is 112253131. The reversal of 112253130 is 31352211.

It is an interprime number because it is at equal distance from previous prime (112253129) and next prime (112253131).

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

It is not an unprimeable number, because it can be changed into a prime (112253131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69492 + ... + 71088.

It is an arithmetic number, because the mean of its divisors is an integer number (3365388).

Almost surely, 2112253130 is an apocalyptic number.

112253130 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 112253130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161538624).

112253130 is an abundant number, since it is smaller than the sum of its proper divisors (210824118).

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

112253130 is a wasteful number, since it uses less digits than its factorization.

112253130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112253130 is about 10594.9577630116. The cubic root of 112253130 is about 482.3913220471.

The spelling of 112253130 in words is "one hundred twelve million, two hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 1597 2130 2343 3194 3195 3905 4686 4791 6390 7029 7810 7985 9582 11715 14058 14373 15970 17567 23430 23955 28746 35134 35145 47910 52701 70290 71865 87835 105402 113387 143730 158103 175670 226774 263505 316206 340161 527010 566935 680322 790515 1020483 1133870 1247257 1581030 1700805 2040966 2494514 3401610 3741771 5102415 6236285 7483542 10204830 11225313 12472570 18708855 22450626 37417710 56126565 112253130