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1351306112 = 2713863941
BaseRepresentation
bin101000010001011…
…0100101110000000
310111011201110111112
41100202310232000
510231413243422
6342031102452
745325624652
oct12042645600
93434643445
101351306112
11633860312
12318671a28
13186c5ca20
14cb6786d2
157d976ee2
hex508b4b80

1351306112 has 64 divisors (see below), whose sum is σ = 2905580160. Its totient is φ = 622295040.

The previous prime is 1351306109. The next prime is 1351306123. The reversal of 1351306112 is 2116031531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435562 + ... + 1436502.

It is an arithmetic number, because the mean of its divisors is an integer number (45399690).

Almost surely, 21351306112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452790080).

1351306112 is an abundant number, since it is smaller than the sum of its proper divisors (1554274048).

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

1351306112 is an equidigital number, since it uses as much as digits as its factorization.

1351306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1351306112 is about 36760.1157778373. The cubic root of 1351306112 is about 1105.5657612074.

Adding to 1351306112 its reverse (2116031531), we get a palindrome (3467337643).

The spelling of 1351306112 in words is "one billion, three hundred fifty-one million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 863 941 1664 1726 1882 3452 3764 6904 7528 11219 12233 13808 15056 22438 24466 27616 30112 44876 48932 55232 60224 89752 97864 110464 120448 179504 195728 359008 391456 718016 782912 812083 1436032 1565824 1624166 3248332 6496664 10557079 12993328 21114158 25986656 42228316 51973312 84456632 103946624 168913264 337826528 675653056 1351306112