Search a number
-
+
1095216012 = 223311319401
BaseRepresentation
bin100000101000111…
…1010101110001100
32211022211201221000
41001101322232030
54220333403022
6300402140300
736066116412
oct10121725614
92738751830
101095216012
11512248000
12266951690
13145b97317
14a56552b2
156623d6ac
hex4147ab8c

1095216012 has 192 divisors, whose sum is σ = 3295756800. Its totient is φ = 313632000.

The previous prime is 1095215999. The next prime is 1095216061. The reversal of 1095216012 is 2106125901.

1095216012 is a `hidden beast` number, since 1 + 0 + 9 + 52 + 1 + 601 + 2 = 666.

It is a super-2 number, since 2×10952160122 = 2398996225882368288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2731012 + ... + 2731412.

It is an arithmetic number, because the mean of its divisors is an integer number (17165400).

Almost surely, 21095216012 is an apocalyptic number.

1095216012 is a gapful number since it is divisible by the number (12) 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 1095216012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647878400).

1095216012 is an abundant number, since it is smaller than the sum of its proper divisors (2200540788).

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

1095216012 is a wasteful number, since it uses less digits than its factorization.

1095216012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1095216012 is about 33094.0479844941. The cubic root of 1095216012 is about 1030.7814511469.

The spelling of 1095216012 in words is "one billion, ninety-five million, two hundred sixteen thousand, twelve".