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11032130032 = 2471125734843
BaseRepresentation
bin10100100011001000…
…01111000111110000
31001110211220021100121
422101210033013300
5140043211130112
65022412500024
7540246362260
oct122144170760
931424807317
1011032130032
114751393640
12217a77a614
13106a796cc1
147692757a0
154487d9407
hex29190f1f0

11032130032 has 80 divisors (see below), whose sum is σ = 26753501952. Its totient is φ = 4281384960.

The previous prime is 11032130027. The next prime is 11032130047. The reversal of 11032130032 is 23003123011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11032129988 and 11032130015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299203 + ... + 334045.

Almost surely, 211032130032 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 11032130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376750976).

11032130032 is an abundant number, since it is smaller than the sum of its proper divisors (15721371920).

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

11032130032 is a wasteful number, since it uses less digits than its factorization.

11032130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35126 (or 35120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11032130032 its reverse (23003123011), we get a palindrome (34035253043).

The spelling of 11032130032 in words is "eleven billion, thirty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 257 308 514 616 1028 1232 1799 2056 2827 3598 4112 5654 7196 11308 14392 19789 22616 28784 34843 39578 45232 69686 79156 139372 158312 243901 278744 316624 383273 487802 557488 766546 975604 1533092 1951208 2682911 3066184 3902416 5365822 6132368 8954651 10731644 17909302 21463288 35818604 42926576 62682557 71637208 98501161 125365114 143274416 197002322 250730228 394004644 501460456 689508127 788009288 1002920912 1379016254 1576018576 2758032508 5516065016 11032130032