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13352332100 = 2252177854313
BaseRepresentation
bin11000110111101110…
…00110101101000100
31021110112202202020112
430123313012231010
5204321144111400
610044534452152
7651611643632
oct143367065504
937415682215
1013352332100
115732052808
122707804058
13134a393533
14909482352
1553234b835
hex31bdc6b44

13352332100 has 36 divisors (see below), whose sum is σ = 30678950484. Its totient is φ = 5026759680.

The previous prime is 13352332087. The next prime is 13352332109. The reversal of 13352332100 is 123325331.

It can be written as a sum of positive squares in 6 ways, for example, as 1255851844 + 12096480256 = 35438^2 + 109984^2 .

It is not an unprimeable number, because it can be changed into a prime (13352332109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3925457 + ... + 3928856.

It is an arithmetic number, because the mean of its divisors is an integer number (852193069).

Almost surely, 213352332100 is an apocalyptic number.

13352332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13352332100 is an abundant number, since it is smaller than the sum of its proper divisors (17326618384).

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

13352332100 is a wasteful number, since it uses less digits than its factorization.

13352332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854344 (or 7854337 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 13352332100 its reverse (123325331), we get a palindrome (13475657431).

The spelling of 13352332100 in words is "thirteen billion, three hundred fifty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7854313 15708626 31417252 39271565 78543130 133523321 157086260 196357825 267046642 392715650 534093284 667616605 785431300 1335233210 2670466420 3338083025 6676166050 13352332100