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113533002 = 236117079
BaseRepresentation
bin1101100010001…
…10000001001010
321220122002000000
412301012001022
5213031024002
615133223430
72546005002
oct661060112
9256562000
10113533002
11590a5030
1232031b76
131a6a14bb
1411115002
159e7961c
hex6c4604a

113533002 has 56 divisors (see below), whose sum is σ = 278583840. Its totient is φ = 34399080.

The previous prime is 113533001. The next prime is 113533009. The reversal of 113533002 is 200335311.

113533002 is a `hidden beast` number, since 11 + 353 + 300 + 2 = 666.

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 (113533001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12499 + ... + 19577.

Almost surely, 2113533002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113533002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139291920).

113533002 is an abundant number, since it is smaller than the sum of its proper divisors (165050838).

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

113533002 is an equidigital number, since it uses as much as digits as its factorization.

113533002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113533002 is about 10655.1866243628. The cubic root of 113533002 is about 484.2177520060.

Adding to 113533002 its reverse (200335311), we get a palindrome (313868313).

It can be divided in two parts, 1 and 13533002, that added together give a triangular number (13533003 = T5202).

The spelling of 113533002 in words is "one hundred thirteen million, five hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 7079 8019 14158 16038 21237 42474 63711 77869 127422 155738 191133 233607 382266 467214 573399 700821 1146798 1401642 1720197 2102463 3440394 4204926 5160591 6307389 10321182 12614778 18922167 37844334 56766501 113533002