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120220999441 = 109231812
BaseRepresentation
bin110111111110110111…
…0101101111100010001
3102111022102000112201221
41233331232231330101
53432203033440231
6131121225125041
711454121430434
oct1577556557421
9374272015657
10120220999441
1146a92690294
121b371929781
13b44bc1497a
145b6683381b
1531d95abd11
hex1bfdbadf11

120220999441 has 9 divisors (see below), whose sum is σ = 121372218513. Its totient is φ = 119080607760.

The previous prime is 120220999439. The next prime is 120220999447. The reversal of 120220999441 is 144999022021.

The square root of 120220999441 is 346729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10924639441 + 109296360000 = 104521^2 + 330600^2 .

It is not a de Polignac number, because 120220999441 - 21 = 120220999439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120220999447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37791871 + ... + 37795051.

It is an arithmetic number, because the mean of its divisors is an integer number (13485802057).

Almost surely, 2120220999441 is an apocalyptic number.

120220999441 is the 346729-th square number.

120220999441 is the 173365-th centered octagonal number.

It is an amenable number.

120220999441 is a deficient number, since it is larger than the sum of its proper divisors (1151219072).

120220999441 is an frugal number, since it uses more digits than its factorization.

120220999441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 120220999441 in words is "one hundred twenty billion, two hundred twenty million, nine hundred ninety-nine thousand, four hundred forty-one".

Divisors: 1 109 3181 11881 346729 10118761 37793461 1102944949 120220999441