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11130040332 = 22331034632161
BaseRepresentation
bin10100101110110011…
…01111000000001100
31001201200010122001000
422113121233000030
5140243242242312
65040231220300
7542545532115
oct122731570014
931650118030
1011130040332
1147a1688044
1221a7517690
131084b585a8
1477828120c
154521c9adc
hex29766f00c

11130040332 has 96 divisors (see below), whose sum is σ = 29212252160. Its totient is φ = 3664362240.

The previous prime is 11130040253. The next prime is 11130040357. The reversal of 11130040332 is 23304003111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5149332 + ... + 5151492.

Almost surely, 211130040332 is an apocalyptic number.

11130040332 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 11130040332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606126080).

11130040332 is an abundant number, since it is smaller than the sum of its proper divisors (18082211828).

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

11130040332 is a wasteful number, since it uses less digits than its factorization.

11130040332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11130040332 its reverse (23304003111), we get a palindrome (34434043443).

The spelling of 11130040332 in words is "eleven billion, one hundred thirty million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 463 618 926 927 1236 1389 1852 1854 2161 2778 2781 3708 4167 4322 5556 5562 6483 8334 8644 11124 12501 12966 16668 19449 25002 25932 38898 47689 50004 58347 77796 95378 116694 143067 190756 222583 233388 286134 429201 445166 572268 667749 858402 890332 1000543 1287603 1335498 1716804 2001086 2003247 2575206 2670996 3001629 4002172 4006494 5150412 6003258 6009741 8012988 9004887 12006516 12019482 18009774 24038964 27014661 36019548 54029322 103055929 108058644 206111858 309167787 412223716 618335574 927503361 1236671148 1855006722 2782510083 3710013444 5565020166 11130040332