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2023110441 = 32112292472
BaseRepresentation
bin111100010010110…
…0011011100101001
312012222211122210100
41320211203130221
513120404013231
6532430140013
7101064104112
oct17045433451
95188748710
102023110441
11948aa1900
12485651609
132631a9491
14152993209
15bc92a1e6
hex78963729

2023110441 has 81 divisors (see below), whose sum is σ = 3398949463. Its totient is φ = 1158659040.

The previous prime is 2023110433. The next prime is 2023110461. The reversal of 2023110441 is 1440113202.

The square root of 2023110441 is 44979.

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

It can be written as a sum of positive squares in only one way, i.e., 1060870041 + 962240400 = 32571^2 + 31020^2 .

It is not a de Polignac number, because 2023110441 - 23 = 2023110433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2023110431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43044880 + ... + 43044926.

Almost surely, 22023110441 is an apocalyptic number.

2023110441 is the 44979-th square number.

2023110441 is the 22490-th centered octagonal number.

It is an amenable number.

2023110441 is a deficient number, since it is larger than the sum of its proper divisors (1375839022).

2023110441 is a wasteful number, since it uses less digits than its factorization.

2023110441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 2023110441 is about 1264.7553654223.

Adding to 2023110441 its reverse (1440113202), we get a palindrome (3463223643).

The spelling of 2023110441 in words is "two billion, twenty-three million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 11 29 33 47 87 99 121 141 261 319 363 423 517 841 957 1089 1363 1551 2209 2523 2871 3509 4089 4653 5687 6627 7569 9251 10527 12267 14993 17061 19881 24299 27753 31581 39527 44979 51183 64061 72897 83259 101761 118581 134937 164923 192183 218691 267289 305283 355743 434797 494769 576549 704671 801867 915849 1304391 1484307 1857769 2114013 2405601 3913173 4782767 5573307 6342039 7751381 14348301 16719921 20435459 23254143 43044903 61306377 69762429 183919131 224790049 674370147 2023110441