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110011113 = 3212223457
BaseRepresentation
bin1101000111010…
…10001011101001
321200000010212200
412203222023221
5211130323423
614525530413
72504036052
oct643521351
9250003780
10110011113
1157109a83
1230a13a09
1319a3a444
1410879729
1599d0d43
hex68ea2e9

110011113 has 6 divisors (see below), whose sum is σ = 158904954. Its totient is φ = 73340736.

The previous prime is 110011103. The next prime is 110011117. The reversal of 110011113 is 311110011.

It can be written as a sum of positive squares in only one way, i.e., 104591529 + 5419584 = 10227^2 + 2328^2 .

It is a de Polignac number, because none of the positive numbers 2k-110011113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12223457 = 110011113 / (1 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 110011095 and 110011104.

It is not an unprimeable number, because it can be changed into a prime (110011117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6111720 + ... + 6111737.

It is an arithmetic number, because the mean of its divisors is an integer number (26484159).

Almost surely, 2110011113 is an apocalyptic number.

It is an amenable number.

110011113 is a deficient number, since it is larger than the sum of its proper divisors (48893841).

110011113 is a wasteful number, since it uses less digits than its factorization.

110011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223463 (or 12223460 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 110011113 is about 10488.6182598091. The cubic root of 110011113 is about 479.1581206323.

Adding to 110011113 its reverse (311110011), we get a palindrome (421121124).

The spelling of 110011113 in words is "one hundred ten million, eleven thousand, one hundred thirteen".

Divisors: 1 3 9 12223457 36670371 110011113