Search a number
-
+
11100132000 = 253353791301
BaseRepresentation
bin10100101011001111…
…01001001010100000
31001122120212010112000
422111213221022200
5140213113211000
65033242204000
7542033364606
oct122547511240
931576763460
1011100132000
11478680a511
1221994b3600
13107b8b6259
147742d7876
1544e76d000
hex2959e92a0

11100132000 has 384 divisors, whose sum is σ = 40947379200. Its totient is φ = 2920320000.

The previous prime is 11100131989. The next prime is 11100132011. The reversal of 11100132000 is 23100111.

It is an interprime number because it is at equal distance from previous prime (11100131989) and next prime (11100132011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8531350 + ... + 8532650.

It is an arithmetic number, because the mean of its divisors is an integer number (106633800).

Almost surely, 211100132000 is an apocalyptic number.

11100132000 is a gapful number since it is divisible by the number (10) 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 11100132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

11100132000 is an abundant number, since it is smaller than the sum of its proper divisors (29847247200).

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

11100132000 is a wasteful number, since it uses less digits than its factorization.

11100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11100132000 its reverse (23100111), we get a palindrome (11123232111).

The spelling of 11100132000 in words is "eleven billion, one hundred million, one hundred thirty-two thousand".