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1216131136 = 26116128319
BaseRepresentation
bin100100001111100…
…1011000001000000
310010202100212021221
41020133023001000
54442312144021
6320401524424
742064641553
oct11037130100
93122325257
101216131136
11574524360
1229b343714
13164c5192c
14b772c69a
1571b75241
hex487cb040

1216131136 has 56 divisors (see below), whose sum is σ = 2675900160. Its totient is φ = 543705600.

The previous prime is 1216131083. The next prime is 1216131143. The reversal of 1216131136 is 6311316121.

It is a self number, because there is not a number n which added to its sum of digits gives 1216131136.

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, 28785 + ... + 57103.

Almost surely, 21216131136 is an apocalyptic number.

1216131136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337950080).

1216131136 is an abundant number, since it is smaller than the sum of its proper divisors (1459769024).

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

1216131136 is a wasteful number, since it uses less digits than its factorization.

1216131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403 (or 28393 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 1216131136 is about 34873.0717889893. The cubic root of 1216131136 is about 1067.3990269165.

Adding to 1216131136 its reverse (6311316121), we get a palindrome (7527447257).

The spelling of 1216131136 in words is "one billion, two hundred sixteen million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1952 2684 3904 5368 10736 21472 28319 42944 56638 113276 226552 311509 453104 623018 906208 1246036 1727459 1812416 2492072 3454918 4984144 6909836 9968288 13819672 19002049 19936576 27639344 38004098 55278688 76008196 110557376 152016392 304032784 608065568 1216131136