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1309209012 = 2232269135193
BaseRepresentation
bin100111000001000…
…1111000110110100
310101020111201010200
41032002033012310
510140124142022
6333524520500
744305043616
oct11602170664
93336451120
101309209012
11612018121
12306550130
1317b3107b7
14c5c3adb6
1579e0dbac
hex4e08f1b4

1309209012 has 36 divisors (see below), whose sum is σ = 3321716580. Its totient is φ = 434777472.

The previous prime is 1309208983. The next prime is 1309209037. The reversal of 1309209012 is 2109029031.

It can be written as a sum of positive squares in 2 ways, for example, as 509224356 + 799984656 = 22566^2 + 28284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13092090122 = 3428056474204032288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57913 + ... + 77280.

It is an arithmetic number, because the mean of its divisors is an integer number (92269905).

Almost surely, 21309209012 is an apocalyptic number.

1309209012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1309209012 is an abundant number, since it is smaller than the sum of its proper divisors (2012507568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1309209012 is a wasteful number, since it uses less digits than its factorization.

1309209012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135472 (or 135467 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1309209012 is about 36182.9934085062. The cubic root of 1309209012 is about 1093.9639114369.

The spelling of 1309209012 in words is "one billion, three hundred nine million, two hundred nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 135193 270386 405579 540772 811158 1216737 1622316 2433474 4866948 36366917 72733834 109100751 145467668 218201502 327302253 436403004 654604506 1309209012