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11323033000 = 235350322511
BaseRepresentation
bin10101000101110011…
…11100010110101000
31002020010021200012121
422202321330112220
5141142144024000
65111323521024
7550411123006
oct124271742650
932203250177
1011323033000
114890614314
122240089174
1310b5b2b236
14795b5ba76
154640ecb1a
hex2a2e7c5a8

11323033000 has 64 divisors (see below), whose sum is σ = 26549752320. Its totient is φ = 4520008000.

The previous prime is 11323032989. The next prime is 11323033013. The reversal of 11323033000 is 33032311.

11323033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113230330002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491745 + ... + 514255.

It is an arithmetic number, because the mean of its divisors is an integer number (414839880).

Almost surely, 211323033000 is an apocalyptic number.

11323033000 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 11323033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274876160).

11323033000 is an abundant number, since it is smaller than the sum of its proper divisors (15226719320).

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

11323033000 is a wasteful number, since it uses less digits than its factorization.

11323033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 11323033000 its reverse (33032311), we get a palindrome (11356065311).

The spelling of 11323033000 in words is "eleven billion, three hundred twenty-three million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 503 1000 1006 2012 2515 4024 5030 10060 12575 20120 22511 25150 45022 50300 62875 90044 100600 112555 125750 180088 225110 251500 450220 503000 562775 900440 1125550 2251100 2813875 4502200 5627750 11255500 11323033 22511000 22646066 45292132 56615165 90584264 113230330 226460660 283075825 452921320 566151650 1132303300 1415379125 2264606600 2830758250 5661516500 11323033000