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11033000400 = 24352371911301
BaseRepresentation
bin10100100011001111…
…00011100111010000
31001110220112111021110
422101213203213100
5140043422003100
65022443253320
7540256645632
oct122147434720
931426474243
1011033000400
114751928554
12217ab1a240
13106aa10206
14769420a52
1544890c250
hex2919e39d0

11033000400 has 240 divisors, whose sum is σ = 36515662848. Its totient is φ = 2845440000.

The previous prime is 11033000353. The next prime is 11033000443. The reversal of 11033000400 is 400033011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479750 + ... + 8481050.

Almost surely, 211033000400 is an apocalyptic number.

11033000400 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 11033000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257831424).

11033000400 is an abundant number, since it is smaller than the sum of its proper divisors (25482662448).

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

11033000400 is a wasteful number, since it uses less digits than its factorization.

11033000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11033000400 its reverse (400033011), we get a palindrome (11433033411).

The spelling of 11033000400 in words is "eleven billion, thirty-three million, four hundred", and thus it is an aban number.