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13234321100 = 225271113294797
BaseRepresentation
bin11000101001101001…
…11011011011001100
31021011022201011120202
430110310323123030
5204100441233400
610025121233032
7645646605350
oct142464733314
937138634522
1013234321100
11568147a360
122694192778
13132bab4a40
148d7923460
15526cda4d5
hex314d3b6cc

13234321100 has 576 divisors, whose sum is σ = 41157365760. Its totient is φ = 3561062400.

The previous prime is 13234321097. The next prime is 13234321181. The reversal of 13234321100 is 112343231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136436252 + ... + 136436348.

It is an arithmetic number, because the mean of its divisors is an integer number (71453760).

Almost surely, 213234321100 is an apocalyptic number.

13234321100 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 13234321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578682880).

13234321100 is an abundant number, since it is smaller than the sum of its proper divisors (27923044660).

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

13234321100 is a wasteful number, since it uses less digits than its factorization.

13234321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13234321100 its reverse (112343231), we get a palindrome (13346664331).

The spelling of 13234321100 in words is "thirteen billion, two hundred thirty-four million, three hundred twenty-one thousand, one hundred".