Search a number
-
+
11011132400 = 245227527831
BaseRepresentation
bin10100100000101000…
…01000101111110000
31001102101101111000112
422100110020233300
5140022322214100
65020342440452
7536603036552
oct122024105760
931371344015
1011011132400
114740551824
122173733128
131066324778
1476656b4d2
15446a3cb35
hex290508bf0

11011132400 has 30 divisors (see below), whose sum is σ = 26454246552. Its totient is φ = 4404452800.

The previous prime is 11011132393. The next prime is 11011132403. The reversal of 11011132400 is 423111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011132403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13763516 + ... + 13764315.

Almost surely, 211011132400 is an apocalyptic number.

11011132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011132400 is an abundant number, since it is smaller than the sum of its proper divisors (15443114152).

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

11011132400 is a wasteful number, since it uses less digits than its factorization.

11011132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527849 (or 27527838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11011132400 its reverse (423111011), we get a palindrome (11434243411).

The spelling of 11011132400 in words is "eleven billion, eleven million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 27527831 55055662 110111324 137639155 220222648 275278310 440445296 550556620 688195775 1101113240 1376391550 2202226480 2752783100 5505566200 11011132400