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2302263017041 = 13219261432
BaseRepresentation
bin100001100000001001100…
…100011011111001010001
322011002112200001001111011
4201200021210123321101
5300210013313021131
64521351154250521
7325222136520631
oct41401144337121
98132480031434
102302263017041
118084254a92a9
1231223b286a41
13139144189900
147d6043946c1
153ed491a50b1
hex2180991be51

2302263017041 has 27 divisors (see below), whose sum is σ = 2631526811739. Its totient is φ = 2012987285712.

The previous prime is 2302263017027. The next prime is 2302263017167. The reversal of 2302263017041 is 1407103622032.

It is a happy number.

The square root of 2302263017041 is 1517321.

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., 340571452225 + 1961691564816 = 583585^2 + 1400604^2 .

It is not a de Polignac number, because 2302263017041 - 213 = 2302263008849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2302263016994 and 2302263017012.

It is not an unprimeable number, because it can be changed into a prime (2302263017641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 374775216 + ... + 374781358.

Almost surely, 22302263017041 is an apocalyptic number.

2302263017041 is the 1517321-st square number.

2302263017041 is the 758661-st centered octagonal number.

It is an amenable number.

2302263017041 is a deficient number, since it is larger than the sum of its proper divisors (329263794698).

2302263017041 is an frugal number, since it uses more digits than its factorization.

2302263017041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 2302263017041 its reverse (1407103622032), we get a palindrome (3709366639073).

The spelling of 2302263017041 in words is "two trillion, three hundred two billion, two hundred sixty-three million, seventeen thousand, forty-one".

Divisors: 1 13 19 169 247 361 3211 4693 6143 61009 79859 116717 1038167 1517321 2217623 19725173 28829099 37736449 374778287 490573837 716992531 6377459881 9320902903 13622858089 121171737739 177097155157 2302263017041