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113302332 = 2232111321693
BaseRepresentation
bin1101100000011…
…01101100111100
321220012100120200
412300031230330
5213001133312
615124243500
72544024333
oct660155474
9256170520
10113302332
1158a577a0
1231b40590
131a620500
1411094d1a
159e310dc
hex6c0db3c

113302332 has 108 divisors (see below), whose sum is σ = 338522184. Its totient is φ = 31674240.

The previous prime is 113302327. The next prime is 113302337. The reversal of 113302332 is 233203311.

113302332 is a `hidden beast` number, since 1 + 1 + 330 + 2 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (113302327) and next prime (113302337).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113302337) 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, 66078 + ... + 67770.

Almost surely, 2113302332 is an apocalyptic number.

113302332 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 113302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169261092).

113302332 is an abundant number, since it is smaller than the sum of its proper divisors (225219852).

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

113302332 is a wasteful number, since it uses less digits than its factorization.

113302332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1722 counting only the distinct ones).

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

The square root of 113302332 is about 10644.3568147634. The cubic root of 113302332 is about 483.8895941509.

Adding to 113302332 its reverse (233203311), we get a palindrome (346505643).

The spelling of 113302332 in words is "one hundred thirteen million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1693 1716 1859 2028 2574 3042 3386 3718 5079 5148 5577 6084 6772 7436 10158 11154 15237 16731 18623 20316 22009 22308 30474 33462 37246 44018 55869 60948 66027 66924 74492 88036 111738 132054 167607 198081 223476 242099 264108 286117 335214 396162 484198 572234 670428 726297 792324 858351 968396 1144468 1452594 1716702 2178891 2575053 2905188 3147287 3433404 4357782 5150106 6294574 8715564 9441861 10300212 12589148 18883722 28325583 37767444 56651166 113302332