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11232313000 = 235311399401
BaseRepresentation
bin10100111010111111…
…10111111010101000
31001222210120121202121
422131133313322220
5141000433004000
65054323241024
7545230041136
oct123537677250
931883517677
1011232313000
114844391007
122215819174
1310a00b666c
14787aa4756
1545b17cb1a
hex29d7f7ea8

11232313000 has 64 divisors (see below), whose sum is σ = 26516477520. Its totient is φ = 4453120000.

The previous prime is 11232312989. The next prime is 11232313063. The reversal of 11232313000 is 31323211.

It can be written as a sum of positive squares in 8 ways, for example, as 65318724 + 11166994276 = 8082^2 + 105674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63300 + ... + 162700.

Almost surely, 211232313000 is an apocalyptic number.

11232313000 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 11232313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258238760).

11232313000 is an abundant number, since it is smaller than the sum of its proper divisors (15284164520).

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

11232313000 is a wasteful number, since it uses less digits than its factorization.

11232313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99535 (or 99521 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11232313000 its reverse (31323211), we get a palindrome (11263636211).

The spelling of 11232313000 in words is "eleven billion, two hundred thirty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 99401 113000 198802 397604 497005 795208 994010 1988020 2485025 3976040 4970050 9940100 11232313 12425125 19880200 22464626 24850250 44929252 49700500 56161565 89858504 99401000 112323130 224646260 280807825 449292520 561615650 1123231300 1404039125 2246462600 2808078250 5616156500 11232313000