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13220021100 = 2235211131718127
BaseRepresentation
bin11000100111111100…
…11000001101101100
31021010022210122200010
430103332120031230
5204033311133400
610023450533220
7645414216366
oct142376301554
937108718603
1013220021100
1156743a2580
12268b437210
131328b48bc0
148d5a7dd36
15525913450
hex313f9836c

13220021100 has 288 divisors, whose sum is σ = 47582954496. Its totient is φ = 2784153600.

The previous prime is 13220021071. The next prime is 13220021123. The reversal of 13220021100 is 112002231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720237 + ... + 738363.

It is an arithmetic number, because the mean of its divisors is an integer number (165218592).

Almost surely, 213220021100 is an apocalyptic number.

13220021100 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 13220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23791477248).

13220021100 is an abundant number, since it is smaller than the sum of its proper divisors (34362933396).

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

13220021100 is a wasteful number, since it uses less digits than its factorization.

13220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18185 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220021100 its reverse (112002231), we get a palindrome (13332023331).

The spelling of 13220021100 in words is "thirteen billion, two hundred twenty million, twenty-one thousand, one hundred".