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110100213 = 3212233357
BaseRepresentation
bin1101000111111…
…11111011110101
321200011200002200
412203333323311
5211141201323
614531455113
72504556606
oct643777365
9250150080
10110100213
115716aa13
1230a57499
1319a6bb72
141089ddad
1599ec443
hex68ffef5

110100213 has 6 divisors (see below), whose sum is σ = 159033654. Its totient is φ = 73400136.

The previous prime is 110100203. The next prime is 110100227. The reversal of 110100213 is 312001011.

It can be written as a sum of positive squares in only one way, i.e., 57653649 + 52446564 = 7593^2 + 7242^2 .

It is not a de Polignac number, because 110100213 - 212 = 110096117 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: 12233357 = 110100213 / (1 + 1 + 0 + 1 + 0 + 0 + 2 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 110100195 and 110100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100203) 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, 6116670 + ... + 6116687.

It is an arithmetic number, because the mean of its divisors is an integer number (26505609).

Almost surely, 2110100213 is an apocalyptic number.

It is an amenable number.

110100213 is a deficient number, since it is larger than the sum of its proper divisors (48933441).

110100213 is a wasteful number, since it uses less digits than its factorization.

110100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233363 (or 12233360 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110100213 is about 10492.8648614189. The cubic root of 110100213 is about 479.2874453481.

Adding to 110100213 its reverse (312001011), we get a palindrome (422101224).

The spelling of 110100213 in words is "one hundred ten million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 9 12233357 36700071 110100213