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113142348 = 223211476079
BaseRepresentation
bin1101011111001…
…10101001001100
321212220020010100
412233212221030
5212431023343
615121011100
72542460034
oct657465114
9255806110
10113142348
1158958580
1231a83a90
131a595747
14110528c4
159ded9d3
hex6be6a4c

113142348 has 72 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 33550560.

The previous prime is 113142347. The next prime is 113142349. The reversal of 113142348 is 843241311.

113142348 is a `hidden beast` number, since 1 + 1 + 314 + 2 + 348 = 666.

It is an interprime number because it is at equal distance from previous prime (113142347) and next prime (113142349).

It is not an unprimeable number, because it can be changed into a prime (113142347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15573 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (4426240).

Almost surely, 2113142348 is an apocalyptic number.

113142348 is a gapful number since it is divisible by the number (18) 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 113142348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

113142348 is an abundant number, since it is smaller than the sum of its proper divisors (205546932).

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

113142348 is a wasteful number, since it uses less digits than its factorization.

113142348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6142 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 113142348 is about 10636.8391921661. The cubic root of 113142348 is about 483.6617345921.

Adding to 113142348 its reverse (843241311), we get a palindrome (956383659).

The spelling of 113142348 in words is "one hundred thirteen million, one hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6079 6204 9306 12158 18237 18612 24316 36474 54711 66869 72948 109422 133738 200607 218844 267476 285713 401214 571426 601821 802428 857139 1142852 1203642 1714278 2407284 2571417 3142843 3428556 5142834 6285686 9428529 10285668 12571372 18857058 28285587 37714116 56571174 113142348