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1306371135 = 35237351871
BaseRepresentation
bin100110111011101…
…1010010000111111
310101001011112022010
41031313122100333
510133412334020
6333344022303
744241654126
oct11567322077
93331145263
101306371135
11610459a73
12305601993
1317a858b94
14c56dcabd
1579a4cde0
hex4ddda43f

1306371135 has 32 divisors (see below), whose sum is σ = 2210992128. Its totient is φ = 657296640.

The previous prime is 1306371133. The next prime is 1306371139. The reversal of 1306371135 is 5311736031.

It is not a de Polignac number, because 1306371135 - 21 = 1306371133 is a prime.

It is a super-2 number, since 2×13063711352 = 3413211084722376450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306371133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751 + ... + 51120.

It is an arithmetic number, because the mean of its divisors is an integer number (69093504).

Almost surely, 21306371135 is an apocalyptic number.

1306371135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1306371135 is a deficient number, since it is larger than the sum of its proper divisors (904620993).

1306371135 is a wasteful number, since it uses less digits than its factorization.

1306371135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51975.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1306371135 is about 36143.7565147841. The cubic root of 1306371135 is about 1093.1729043332.

The spelling of 1306371135 in words is "one billion, three hundred six million, three hundred seventy-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 23 69 73 115 219 345 365 1095 1679 5037 8395 25185 51871 155613 259355 778065 1193033 3579099 3786583 5965165 11359749 17895495 18932915 56798745 87091409 261274227 435457045 1306371135