Search a number
-
+
11102660352 = 283274797151
BaseRepresentation
bin10100101011100010…
…10010011100000000
31001122202121120202200
422111301102130000
5140214240112402
65033412313200
7542064025110
oct122561223400
931582546680
1011102660352
114788187063
12219a312800
13107c290014
14774795040
1544eabc21c
hex295c52700

11102660352 has 432 divisors, whose sum is σ = 37998385152. Its totient is φ = 3052339200.

The previous prime is 11102660333. The next prime is 11102660369. The reversal of 11102660352 is 25306620111.

11102660352 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 6 + 603 + 52 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 73527477 + ... + 73527627.

Almost surely, 211102660352 is an apocalyptic number.

11102660352 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 11102660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999192576).

11102660352 is an abundant number, since it is smaller than the sum of its proper divisors (26895724800).

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

11102660352 is a wasteful number, since it uses less digits than its factorization.

11102660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11102660352 in words is "eleven billion, one hundred two million, six hundred sixty thousand, three hundred fifty-two".