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13000410400 = 255231875099
BaseRepresentation
bin11000001101110001…
…01000010100100000
31020120000120021102111
430012320220110200
5203111101113100
65550003525104
7640106444065
oct140670502440
936500507374
1013000410400
11557143582a
122629989794
1312c24b6743
148b4834c6c
155114d36ba
hex306e28520

13000410400 has 72 divisors (see below), whose sum is σ = 31753436400. Its totient is φ = 5197512960.

The previous prime is 13000410361. The next prime is 13000410427. The reversal of 13000410400 is 401400031.

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, 2547051 + ... + 2552149.

It is an arithmetic number, because the mean of its divisors is an integer number (441019950).

Almost surely, 213000410400 is an apocalyptic number.

13000410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000410400 is an abundant number, since it is smaller than the sum of its proper divisors (18753026000).

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

13000410400 is a wasteful number, since it uses less digits than its factorization.

13000410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13000410400 its reverse (401400031), we get a palindrome (13401810431).

The spelling of 13000410400 in words is "thirteen billion, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3187 5099 6374 10198 12748 15935 20396 25495 25496 31870 40792 50990 50992 63740 79675 81584 101980 101984 127475 127480 159350 163168 203960 254950 254960 318700 407920 509900 509920 637400 815840 1019800 1274800 2039600 2549600 4079200 16250513 32501026 65002052 81252565 130004104 162505130 260008208 325010260 406262825 520016416 650020520 812525650 1300041040 1625051300 2600082080 3250102600 6500205200 13000410400