Search a number
-
+
13221321904 = 24732409133
BaseRepresentation
bin11000101000000110…
…10101110010110000
31021010102020202001001
430110003111302300
5204034124300104
610023534451344
7645431245000
oct142403256260
937112222031
1013221321904
11567510091a
12268b963b54
1313291b2ccb
148d5cdc000
15525abdaa4
hex3140d5cb0

13221321904 has 40 divisors (see below), whose sum is σ = 29873261600. Its totient is φ = 5666278464.

The previous prime is 13221321881. The next prime is 13221321907. The reversal of 13221321904 is 40912312231.

It is a happy number.

It is a super-3 number, since 3×132213219043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13221321907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199079 + ... + 1210054.

It is an arithmetic number, because the mean of its divisors is an integer number (746831540).

Almost surely, 213221321904 is an apocalyptic number.

13221321904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13221321904 is an abundant number, since it is smaller than the sum of its proper divisors (16651939696).

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

13221321904 is an equidigital number, since it uses as much as digits as its factorization.

13221321904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409162 (or 2409142 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 13221321904 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 2409133 4818266 9636532 16863931 19273064 33727862 38546128 67455724 118047517 134911448 236095034 269822896 472190068 826332619 944380136 1652665238 1888760272 3305330476 6610660952 13221321904