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120020021 = 112991901
BaseRepresentation
bin1110010011101…
…01110000110101
322100211122111222
413021311300311
5221211120041
615524240125
72655103412
oct711656065
9270748458
10120020021
1161825900
1234240045
131bb33084
1411d23109
15a80b74b
hex7275c35

120020021 has 6 divisors (see below), whose sum is σ = 131922966. Its totient is φ = 109109000.

The previous prime is 120020011. The next prime is 120020027.

120020021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 109202500 + 10817521 = 10450^2 + 3289^2 .

It is a de Polignac number, because none of the positive numbers 2k-120020021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120019990 and 120020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020027) 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, 495830 + ... + 496071.

It is an arithmetic number, because the mean of its divisors is an integer number (21987161).

Almost surely, 2120020021 is an apocalyptic number.

120020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120020021 is a deficient number, since it is larger than the sum of its proper divisors (11902945).

120020021 is an equidigital number, since it uses as much as digits as its factorization.

120020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991923 (or 991912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120020021 is about 10955.3649414339. The cubic root of 120020021 is about 493.2698444695.

The spelling of 120020021 in words is "one hundred twenty million, twenty thousand, twenty-one".

Divisors: 1 11 121 991901 10910911 120020021