Search a number
-
+
13213251115232 = 257571731031741
BaseRepresentation
bin1100000001000111001100…
…1000111001100011100000
31201210011201012002121120112
43000101303020321203200
53212441214241141412
644034030032030452
72532424452231410
oct300216310714340
951704635077515
1013213251115232
1142347878709a3
121594997092428
1374b0093bc47c
1433974bd5c640
1517da91112722
hexc04732398e0

13213251115232 has 48 divisors (see below), whose sum is σ = 29730363822432. Its totient is φ = 5662717370880.

The previous prime is 13213251115189. The next prime is 13213251115241. The reversal of 13213251115232 is 23251115231231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12290882 + ... + 13322622.

It is an arithmetic number, because the mean of its divisors is an integer number (619382579634).

Almost surely, 213213251115232 is an apocalyptic number.

It is an amenable number.

13213251115232 is an abundant number, since it is smaller than the sum of its proper divisors (16517112707200).

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

13213251115232 is a wasteful number, since it uses less digits than its factorization.

13213251115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088931 (or 1088923 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

Adding to 13213251115232 its reverse (23251115231231), we get a palindrome (36464366346463).

The spelling of 13213251115232 in words is "thirteen trillion, two hundred thirteen billion, two hundred fifty-one million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 57173 114346 228692 400211 457384 800422 914768 1031741 1600844 1829536 2063482 3201688 4126964 6403376 7222187 8253928 12806752 14444374 16507856 28888748 33015712 57777496 115554992 231109984 58987728193 117975456386 235950912772 412914097351 471901825544 825828194702 943803651088 1651656389404 1887607302176 3303312778808 6606625557616 13213251115232