Search a number
-
+
13313032100 = 22521941170899
BaseRepresentation
bin11000110011000010…
…01011111110100100
31021100210211002202222
430121201023332210
5204231114011400
610041012251512
7650623622444
oct143141137644
937323732688
1013313032100
115711950075
1226b6610b98
1313421b34b4
14904172124
1552db87185
hex31984bfa4

13313032100 has 72 divisors (see below), whose sum is σ = 31151652000. Its totient is φ = 4921862400.

The previous prime is 13313032093. The next prime is 13313032111. The reversal of 13313032100 is 123031331.

13313032100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7550 + ... + 163349.

Almost surely, 213313032100 is an apocalyptic number.

13313032100 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 13313032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575826000).

13313032100 is an abundant number, since it is smaller than the sum of its proper divisors (17838619900).

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

13313032100 is a wasteful number, since it uses less digits than its factorization.

13313032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170973 (or 170966 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13313032100 its reverse (123031331), we get a palindrome (13436063431).

The spelling of 13313032100 in words is "thirteen billion, three hundred thirteen million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 779 820 950 1025 1558 1900 2050 3116 3895 4100 7790 15580 19475 38950 77900 170899 341798 683596 854495 1708990 3247081 3417980 4272475 6494162 7006859 8544950 12988324 14013718 16235405 17089900 28027436 32470810 35034295 64941620 70068590 81177025 133130321 140137180 162354050 175171475 266260642 324708100 350342950 532521284 665651605 700685900 1331303210 2662606420 3328258025 6656516050 13313032100