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9110980112 = 24132912292
BaseRepresentation
bin10000111110000111…
…01000011000010000
3212111221220202002212
420133003220120100
5122124402330422
64104023531252
7441531024143
oct103703503020
925457822085
109110980112
113955a02233
1219232b9b28
13b227697c0
1462606405a
15384cee9e2
hex21f0e8610

9110980112 has 60 divisors (see below), whose sum is σ = 19681956420. Its totient is φ = 4056761856.

The previous prime is 9110980103. The next prime is 9110980121. The reversal of 9110980112 is 2110890119.

It is an interprime number because it is at equal distance from previous prime (9110980103) and next prime (9110980121).

It can be written as a sum of positive squares in 6 ways, for example, as 2003815696 + 7107164416 = 44764^2 + 84304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7412714 + ... + 7413942.

It is an arithmetic number, because the mean of its divisors is an integer number (328032607).

Almost surely, 29110980112 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 9110980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840978210).

9110980112 is an abundant number, since it is smaller than the sum of its proper divisors (10570976308).

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

9110980112 is a wasteful number, since it uses less digits than its factorization.

9110980112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The square root of 9110980112 is about 95451.4542162664. The cubic root of 9110980112 is about 2088.5988419994.

The spelling of 9110980112 in words is "nine billion, one hundred ten million, nine hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1229 1508 2458 3016 4916 6032 9832 15977 19664 31954 35641 63908 71282 127816 142564 255632 285128 463333 570256 926666 1510441 1853332 3020882 3706664 6041764 7413328 12083528 19635733 24167056 39271466 43802789 78542932 87605578 157085864 175211156 314171728 350422312 569436257 700844624 1138872514 2277745028 4555490056 9110980112