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113333331 = 3371815641
BaseRepresentation
bin1101100000101…
…01010001010011
321220020221002210
412300111101103
5213003131311
615125043203
72544213606
oct660252123
9256227083
10113333331
1158a79011
1231b56503
131a631657
14110a233d
159e3a3a6
hex6c15453

113333331 has 16 divisors (see below), whose sum is σ = 156080288. Its totient is φ = 73094400.

The previous prime is 113333317. The next prime is 113333333. The reversal of 113333331 is 133333311.

It is not a de Polignac number, because 113333331 - 221 = 111236179 is a prime.

It is a super-3 number, since 3×1133333313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113333298 and 113333307.

It is not an unprimeable number, because it can be changed into a prime (113333333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17271 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (9755018).

Almost surely, 2113333331 is an apocalyptic number.

113333331 is a deficient number, since it is larger than the sum of its proper divisors (42746957).

113333331 is a wasteful number, since it uses less digits than its factorization.

113333331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862.

The product of its digits is 729, while the sum is 21.

The square root of 113333331 is about 10645.8128388583. The cubic root of 113333331 is about 483.9337201205.

Adding to 113333331 its reverse (133333311), we get a palindrome (246666642).

The spelling of 113333331 in words is "one hundred thirteen million, three hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 37 111 181 543 5641 6697 16923 20091 208717 626151 1021021 3063063 37777777 113333331