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113141412 = 223229237101
BaseRepresentation
bin1101011111001…
…10011010100100
321212220011211200
412233212122210
5212431011122
615121002500
72542454226
oct657463244
9255804750
10113141412
11589578aa
1231a83430
131a5951a7
1411052416
159ded5ac
hex6be66a4

113141412 has 108 divisors (see below), whose sum is σ = 307215636. Its totient is φ = 35078400.

The previous prime is 113141407. The next prime is 113141417. The reversal of 113141412 is 214141311.

113141412 is a `hidden beast` number, since 113 + 141 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (113141407) and next prime (113141417).

It can be written as a sum of positive squares in 6 ways, for example, as 30404196 + 82737216 = 5514^2 + 9096^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113141417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1120162 + ... + 1120262.

Almost surely, 2113141412 is an apocalyptic number.

113141412 is a gapful number since it is divisible by the number (12) 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 113141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153607818).

113141412 is an abundant number, since it is smaller than the sum of its proper divisors (194074224).

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

113141412 is a wasteful number, since it uses less digits than its factorization.

113141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 172 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 113141412 is about 10636.7951940422. The cubic root of 113141412 is about 483.6604008485.

Adding to 113141412 its reverse (214141311), we get a palindrome (327282723).

The spelling of 113141412 in words is "one hundred thirteen million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 101 111 116 148 174 202 222 261 303 333 348 404 444 522 606 666 841 909 1044 1073 1212 1332 1682 1818 2146 2523 2929 3219 3364 3636 3737 4292 5046 5858 6438 7474 7569 8787 9657 10092 11211 11716 12876 14948 15138 17574 19314 22422 26361 30276 31117 33633 35148 38628 44844 52722 62234 67266 84941 93351 105444 108373 124468 134532 169882 186702 216746 254823 280053 325119 339764 373404 433492 509646 560106 650238 764469 975357 1019292 1120212 1300476 1528938 1950714 3057876 3142817 3901428 6285634 9428451 12571268 18856902 28285353 37713804 56570706 113141412