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13321133152 = 256144915199
BaseRepresentation
bin11000110100000000…
…00101110001100000
31021101101001200022221
430122000011301200
5204240202230102
610041502040424
7651052522615
oct143200056140
937341050287
1013321133152
115716483558
1226b9279114
131343a8b912
1490528050c
1552e737637
hex31a005c60

13321133152 has 48 divisors (see below), whose sum is σ = 26717040000. Its totient is φ = 6536355840.

The previous prime is 13321133131. The next prime is 13321133153. The reversal of 13321133152 is 25133112331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321133153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868849 + ... + 884047.

It is an arithmetic number, because the mean of its divisors is an integer number (556605000).

Almost surely, 213321133152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358520000).

13321133152 is an abundant number, since it is smaller than the sum of its proper divisors (13395906848).

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

13321133152 is a wasteful number, since it uses less digits than its factorization.

13321133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15711 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

Adding to 13321133152 its reverse (25133112331), we get a palindrome (38454245483).

The spelling of 13321133152 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 449 488 898 976 1796 1952 3592 7184 14368 15199 27389 30398 54778 60796 109556 121592 219112 243184 438224 486368 876448 927139 1854278 3708556 6824351 7417112 13648702 14834224 27297404 29668448 54594808 109189616 218379232 416285411 832570822 1665141644 3330283288 6660566576 13321133152