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13213423400 = 23521773139383
BaseRepresentation
bin11000100111001010…
…01101011100101000
31021002212101110022212
430103211031130220
5204030114022100
610023053304252
7645304150202
oct142345153450
937085343285
1013213423400
1156706a6631
122689195088
131327678b38
148d4c43772
1552505d635
hex31394d728

13213423400 has 192 divisors, whose sum is σ = 33297868800. Its totient is φ = 4858306560.

The previous prime is 13213423397. The next prime is 13213423423. The reversal of 13213423400 is 432431231.

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, 34499609 + ... + 34499991.

It is an arithmetic number, because the mean of its divisors is an integer number (173426400).

Almost surely, 213213423400 is an apocalyptic number.

13213423400 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 13213423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648934400).

13213423400 is an abundant number, since it is smaller than the sum of its proper divisors (20084445400).

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

13213423400 is a wasteful number, since it uses less digits than its factorization.

13213423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13213423400 its reverse (432431231), we get a palindrome (13645854631).

The spelling of 13213423400 in words is "thirteen billion, two hundred thirteen million, four hundred twenty-three thousand, four hundred".