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13323222100 = 2252244154581
BaseRepresentation
bin11000110100010000…
…00011110001010100
31021101111222210211101
430122020003301110
5204241221101400
610042014515444
7651106343056
oct143210036124
937344883741
1013323222100
11571767aa61
1226b9b05b84
131344340696
149056658d6
1552e9eb56a
hex31a203c54

13323222100 has 36 divisors (see below), whose sum is σ = 28923765948. Its totient is φ = 5327008000.

The previous prime is 13323222089. The next prime is 13323222103. The reversal of 13323222100 is 122232331.

It can be written as a sum of positive squares in 6 ways, for example, as 339075396 + 12984146704 = 18414^2 + 113948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216810 + ... + 271390.

It is an arithmetic number, because the mean of its divisors is an integer number (803437943).

Almost surely, 213323222100 is an apocalyptic number.

13323222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323222100 is an abundant number, since it is smaller than the sum of its proper divisors (15600543848).

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

13323222100 is a wasteful number, since it uses less digits than its factorization.

13323222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57036 (or 57029 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13323222100 its reverse (122232331), we get a palindrome (13445454431).

The spelling of 13323222100 in words is "thirteen billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2441 4882 9764 12205 24410 48820 54581 61025 109162 122050 218324 244100 272905 545810 1091620 1364525 2729050 5458100 133232221 266464442 532928884 666161105 1332322210 2664644420 3330805525 6661611050 13323222100