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1100031021 = 32122225669
BaseRepresentation
bin100000110010001…
…0010010000101101
32211122220100212200
41001210102100231
54223101443041
6301053252113
736155052345
oct10144222055
92748810780
101100031021
11514a36651
12268494039
13146b91b3b
14a6149d25
15668901b6
hex4191242d

1100031021 has 6 divisors (see below), whose sum is σ = 1588933710. Its totient is φ = 733354008.

The previous prime is 1100031017. The next prime is 1100031043. The reversal of 1100031021 is 1201300011.

It can be written as a sum of positive squares in only one way, i.e., 1031373225 + 68657796 = 32115^2 + 8286^2 .

It is not a de Polignac number, because 1100031021 - 22 = 1100031017 is a prime.

It is a super-3 number, since 3×11000310213 (a number of 28 digits) contains 333 as substring.

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: 122225669 = 1100031021 / (1 + 1 + 0 + 0 + 0 + 3 + 1 + 0 + 2 + 1).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100030994 and 1100031012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100031071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61112826 + ... + 61112843.

It is an arithmetic number, because the mean of its divisors is an integer number (264822285).

Almost surely, 21100031021 is an apocalyptic number.

It is an amenable number.

1100031021 is a deficient number, since it is larger than the sum of its proper divisors (488902689).

1100031021 is a wasteful number, since it uses less digits than its factorization.

1100031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122225675 (or 122225672 counting only the distinct ones).

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

The square root of 1100031021 is about 33166.7155594279. The cubic root of 1100031021 is about 1032.2898191110.

Adding to 1100031021 its reverse (1201300011), we get a palindrome (2301331032).

The spelling of 1100031021 in words is "one billion, one hundred million, thirty-one thousand, twenty-one".

Divisors: 1 3 9 122225669 366677007 1100031021