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13112335400 = 2352457143461
BaseRepresentation
bin11000011011000111…
…00101110000101000
31020211211011122122212
430031203211300220
5203323224213100
610005042504252
7642636004043
oct141543456050
936754148585
1013112335400
11561963172a
12265b365088
13130c744058
148c564bc5a
1551b241635
hex30d8e5c28

13112335400 has 48 divisors (see below), whose sum is σ = 30553102140. Its totient is φ = 5233420800.

The previous prime is 13112335387. The next prime is 13112335417. The reversal of 13112335400 is 453321131.

It can be written as a sum of positive squares in 6 ways, for example, as 9580885924 + 3531449476 = 97882^2 + 59426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19670 + ... + 163130.

Almost surely, 213112335400 is an apocalyptic number.

13112335400 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 13112335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15276551070).

13112335400 is an abundant number, since it is smaller than the sum of its proper divisors (17440766740).

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

13112335400 is a wasteful number, since it uses less digits than its factorization.

13112335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143934 (or 143925 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13112335400 its reverse (453321131), we get a palindrome (13565656531).

The spelling of 13112335400 in words is "thirteen billion, one hundred twelve million, three hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 457 914 1828 2285 3656 4570 9140 11425 18280 22850 45700 91400 143461 286922 573844 717305 1147688 1434610 2869220 3586525 5738440 7173050 14346100 28692200 65561677 131123354 262246708 327808385 524493416 655616770 1311233540 1639041925 2622467080 3278083850 6556167700 13112335400