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112333013 = 1313763073
BaseRepresentation
bin1101011001000…
…01000011010101
321211101002220222
412230201003111
5212224124023
615051404125
72532546332
oct654410325
9254332828
10112333013
1158455501
1231753645
131a371250
1410cc1989
159cddcc8
hex6b210d5

112333013 has 8 divisors (see below), whose sum is σ = 121858968. Its totient is φ = 102933504.

The previous prime is 112333009. The next prime is 112333027. The reversal of 112333013 is 310333211.

It can be written as a sum of positive squares in 4 ways, for example, as 1620529 + 110712484 = 1273^2 + 10522^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112333013 - 22 = 112333009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112332982 and 112333000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112333003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29756 + ... + 33317.

It is an arithmetic number, because the mean of its divisors is an integer number (15232371).

Almost surely, 2112333013 is an apocalyptic number.

112333013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112333013 is a deficient number, since it is larger than the sum of its proper divisors (9525955).

112333013 is a wasteful number, since it uses less digits than its factorization.

112333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63223.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 112333013 is about 10598.7269518561. The cubic root of 112333013 is about 482.5057233967.

Adding to 112333013 its reverse (310333211), we get a palindrome (422666224).

The spelling of 112333013 in words is "one hundred twelve million, three hundred thirty-three thousand, thirteen".

Divisors: 1 13 137 1781 63073 819949 8641001 112333013