Search a number
-
+
11115352332 = 2234716729347
BaseRepresentation
bin10100101101000011…
…01101000100001100
31001200122111101220000
422112201231010030
5140231012233312
65034544324300
7542306636010
oct122641550414
931618441800
1011115352332
1147943657a7
1221a2613690
131081ab4c76
1477633a540
15450c77adc
hex29686d10c

11115352332 has 120 divisors (see below), whose sum is σ = 33408824064. Its totient is φ = 3156690528.

The previous prime is 11115352321. The next prime is 11115352349. The reversal of 11115352332 is 23325351111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11115352296 and 11115352305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 364083 + ... + 393429.

Almost surely, 211115352332 is an apocalyptic number.

11115352332 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 11115352332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704412032).

11115352332 is an abundant number, since it is smaller than the sum of its proper divisors (22293471732).

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

11115352332 is a wasteful number, since it uses less digits than its factorization.

11115352332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29537 (or 29526 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The spelling of 11115352332 in words is "eleven billion, one hundred fifteen million, three hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 167 189 252 324 334 378 501 567 668 756 1002 1134 1169 1503 2004 2268 2338 3006 3507 4509 4676 6012 7014 9018 10521 13527 14028 18036 21042 27054 29347 31563 42084 54108 58694 63126 88041 94689 117388 126252 176082 189378 205429 264123 352164 378756 410858 528246 616287 792369 821716 1056492 1232574 1584738 1848861 2377107 2465148 3169476 3697722 4754214 4900949 5546583 7395444 9508428 9801898 11093166 14702847 16639749 19603796 22186332 29405694 33279498 34306643 44108541 58811388 66558996 68613286 88217082 102919929 132325623 137226572 176434164 205839858 264651246 308759787 396976869 411679716 529302492 617519574 793953738 926279361 1235039148 1587907476 1852558722 2778838083 3705117444 5557676166 11115352332