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1209022441 = 1122921092
BaseRepresentation
bin100100000010000…
…0011011111101001
310010020222200222221
41020010003133221
54434002204231
6315545314041
741650343524
oct11004033751
93106880887
101209022441
11570509500
12298a95921
131636330c3
14b67dbbbb
157121dd11
hex481037e9

1209022441 has 27 divisors (see below), whose sum is σ = 1389073413. Its totient is φ = 1051475040.

The previous prime is 1209022433. The next prime is 1209022447. The reversal of 1209022441 is 1442209021.

The square root of 1209022441 is 34771.

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 61168041 + 1147854400 = 7821^2 + 33880^2 .

It is not a de Polignac number, because 1209022441 - 23 = 1209022433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1209022447) 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 26 ways as a sum of consecutive naturals, for example, 11091895 + ... + 11092003.

Almost surely, 21209022441 is an apocalyptic number.

1209022441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1209022441 is the 34771-st square number.

1209022441 is the 17386-th centered octagonal number.

It is an amenable number.

1209022441 is a deficient number, since it is larger than the sum of its proper divisors (180050972).

1209022441 is an equidigital number, since it uses as much as digits as its factorization.

1209022441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 1209022441 is about 1065.3151927694.

Multiplying 1209022441 by its sum of digits (25), we get a square (30225561025 = 1738552).

The spelling of 1209022441 in words is "one billion, two hundred nine million, twenty-two thousand, four hundred forty-one".

Divisors: 1 11 29 109 121 319 841 1199 3161 3509 9251 11881 13189 34771 91669 101761 130691 344549 382481 1008359 1437601 3790039 9991921 11091949 41690429 109911131 1209022441