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1105313301 = 324110927481
BaseRepresentation
bin100000111100001…
…1011111000010101
32212000211201210200
41001320123320111
54230430011201
6301402411113
736251002521
oct10170337025
92760751720
101105313301
11517a14274
1226a200a99
13147cc1251
14a6b22d81
1567085386
hex41e1be15

1105313301 has 24 divisors (see below), whose sum is σ = 1650568920. Its totient is φ = 712281600.

The previous prime is 1105313299. The next prime is 1105313311. The reversal of 1105313301 is 1033135011.

It can be written as a sum of positive squares in 4 ways, for example, as 261468900 + 843844401 = 16170^2 + 29049^2 .

It is not a de Polignac number, because 1105313301 - 21 = 1105313299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105313311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26481 + ... + 53961.

It is an arithmetic number, because the mean of its divisors is an integer number (68773705).

Almost surely, 21105313301 is an apocalyptic number.

It is an amenable number.

1105313301 is a deficient number, since it is larger than the sum of its proper divisors (545255619).

1105313301 is a wasteful number, since it uses less digits than its factorization.

1105313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27637 (or 27634 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1105313301 is about 33246.2524354250. The cubic root of 1105313301 is about 1033.9395116804.

Adding to 1105313301 its reverse (1033135011), we get a palindrome (2138448312).

The spelling of 1105313301 in words is "one billion, one hundred five million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 41 109 123 327 369 981 4469 13407 27481 40221 82443 247329 1126721 2995429 3380163 8986287 10140489 26958861 122812589 368437767 1105313301