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1309123805 = 511214712
BaseRepresentation
bin100111000000111…
…1010010011011101
310101020100101020212
41032001322103131
510140113430210
6333523022205
744304240323
oct11601722335
93336311225
101309123805
11611a6a100
1230650a965
1317b2b0a92
14c5c17d13
1579de3805
hex4e07a4dd

1309123805 has 18 divisors (see below), whose sum is σ = 1727919774. Its totient is φ = 951442800.

The previous prime is 1309123799. The next prime is 1309123841. The reversal of 1309123805 is 5083219031.

It can be written as a sum of positive squares in only one way, i.e., 1047299044 + 261824761 = 32362^2 + 16181^2 .

It is not a de Polignac number, because 1309123805 - 24 = 1309123789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 889220 + ... + 890690.

It is an arithmetic number, because the mean of its divisors is an integer number (95995543).

Almost surely, 21309123805 is an apocalyptic number.

It is an amenable number.

1309123805 is a deficient number, since it is larger than the sum of its proper divisors (418795969).

1309123805 is an frugal number, since it uses more digits than its factorization.

1309123805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1309123805 is about 36181.8159439241. The cubic root of 1309123805 is about 1093.9401781740.

Multiplying 1309123805 by its product of nonzero digits (6480), we get a square (8483122256400 = 29125802).

The spelling of 1309123805 in words is "one billion, three hundred nine million, one hundred twenty-three thousand, eight hundred five".

Divisors: 1 5 11 55 121 605 1471 7355 16181 80905 177991 889955 2163841 10819205 23802251 119011255 261824761 1309123805