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1053003341 = 13217366517
BaseRepresentation
bin111110110000111…
…000111001001101
32201101102010000202
4332300320321031
54124032101331
6252253303245
735044244405
oct7660707115
92641363022
101053003341
114a0435aa5
12254794b25
1313a207600
149dbc7805
15626a0ecb
hex3ec38e4d

1053003341 has 12 divisors (see below), whose sum is σ = 1207310292. Its totient is φ = 914823936.

The previous prime is 1053003337. The next prime is 1053003359. The reversal of 1053003341 is 1433003501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 232410025 + 820593316 = 15245^2 + 28646^2 .

It is not a de Polignac number, because 1053003341 - 22 = 1053003337 is a prime.

It is a super-2 number, since 2×10530033412 = 2217632072314324562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053003361) 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 11 ways as a sum of consecutive naturals, for example, 180386 + ... + 186131.

It is an arithmetic number, because the mean of its divisors is an integer number (100609191).

Almost surely, 21053003341 is an apocalyptic number.

It is an amenable number.

1053003341 is a deficient number, since it is larger than the sum of its proper divisors (154306951).

1053003341 is a wasteful number, since it uses less digits than its factorization.

1053003341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366560 (or 366547 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1053003341 is about 32450.0129583949. The cubic root of 1053003341 is about 1017.3645088801.

Adding to 1053003341 its reverse (1433003501), we get a palindrome (2486006842).

The spelling of 1053003341 in words is "one billion, fifty-three million, three thousand, three hundred forty-one".

Divisors: 1 13 17 169 221 2873 366517 4764721 6230789 61941373 81000257 1053003341