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120444310021 = 71710147920921
BaseRepresentation
bin111000000101100001…
…0100101001000000101
3102111212222012220021011
41300023002211020011
53433132220410041
6131155323322221
711462502512620
oct1601302451005
9374788186234
10120444310021
1147097744892
121b414680371
13b4862711c9
145b88362db7
1531edebce81
hex1c0b0a5205

120444310021 has 32 divisors (see below), whose sum is σ = 147505121280. Its totient is φ = 95997696000.

The previous prime is 120444309989. The next prime is 120444310027. The reversal of 120444310021 is 120013444021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120444310021 - 25 = 120444309989 is a prime.

It is a super-2 number, since 2×1204443100212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120444309974 and 120444310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120444310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746641 + ... + 5767561.

It is an arithmetic number, because the mean of its divisors is an integer number (4609535040).

Almost surely, 2120444310021 is an apocalyptic number.

It is an amenable number.

120444310021 is a deficient number, since it is larger than the sum of its proper divisors (27060811259).

120444310021 is a wasteful number, since it uses less digits than its factorization.

120444310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21525.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 120444310021 its reverse (120013444021), we get a palindrome (240457754042).

The spelling of 120444310021 in words is "one hundred twenty billion, four hundred forty-four million, three hundred ten thousand, twenty-one".

Divisors: 1 7 17 101 119 479 707 1717 3353 8143 12019 20921 48379 57001 146447 338653 355657 822443 2113021 2489599 5757101 10021159 14791147 35921357 70148113 170359703 251449499 1012137059 1192517921 7084959413 17206330003 120444310021