Search a number
-
+
13303332100 = 2252216161561
BaseRepresentation
bin11000110001111000…
…01011110100000100
31021100010120021212201
430120330023310010
5204221123111400
610040024324244
7650445312532
oct143074136404
937303507781
1013303332100
115707425343
1226b3313684
131340198356
14902b69152
1552cdbd06a
hex318f0bd04

13303332100 has 36 divisors (see below), whose sum is σ = 28882058548. Its totient is φ = 5318784000.

The previous prime is 13303332083. The next prime is 13303332101. The reversal of 13303332100 is 123330331.

It can be written as a sum of positive squares in 6 ways, for example, as 232440516 + 13070891584 = 15246^2 + 114328^2 .

It is not an unprimeable number, because it can be changed into a prime (13303332101) 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, 185320 + ... + 246880.

Almost surely, 213303332100 is an apocalyptic number.

13303332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303332100 is an abundant number, since it is smaller than the sum of its proper divisors (15578726448).

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

13303332100 is a wasteful number, since it uses less digits than its factorization.

13303332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63736 (or 63729 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13303332100 its reverse (123330331), we get a palindrome (13426662431).

The spelling of 13303332100 in words is "thirteen billion, three hundred three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2161 4322 8644 10805 21610 43220 54025 61561 108050 123122 216100 246244 307805 615610 1231220 1539025 3078050 6156100 133033321 266066642 532133284 665166605 1330333210 2660666420 3325833025 6651666050 13303332100