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13322412032 = 21317271353
BaseRepresentation
bin11000110100001001…
…11110000000000000
31021101110110122121212
430122010332000000
5204241014141112
610041545305252
7651066430256
oct143204760000
937343418555
1013322412032
115717177386
1226b9795228
131344118a57
149054d45d6
1552e8db522
hex31a13e000

13322412032 has 112 divisors (see below), whose sum is σ = 28394753472. Its totient is φ = 6228541440.

The previous prime is 13322411951. The next prime is 13322412041. The reversal of 13322412032 is 23021422331.

It is a junction number, because it is equal to n+sod(n) for n = 13322411989 and 13322412007.

It is a congruent number.

It is an unprimeable number.

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, 37740368 + ... + 37740720.

Almost surely, 213322412032 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 13322412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197376736).

13322412032 is an abundant number, since it is smaller than the sum of its proper divisors (15072341440).

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

13322412032 is an equidigital number, since it uses as much as digits as its factorization.

13322412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13322412032 its reverse (23021422331), we get a palindrome (36343834363).

The spelling of 13322412032 in words is "thirteen billion, three hundred twenty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 271 272 353 512 542 544 706 1024 1084 1088 1412 2048 2168 2176 2824 4096 4336 4352 4607 5648 6001 8192 8672 8704 9214 11296 12002 17344 17408 18428 22592 24004 34688 34816 36856 45184 48008 69376 69632 73712 90368 95663 96016 138752 139264 147424 180736 191326 192032 277504 294848 361472 382652 384064 555008 589696 722944 765304 768128 1110016 1179392 1445888 1530608 1536256 1626271 2220032 2358784 2891776 3061216 3072512 3252542 4717568 6122432 6145024 6505084 9435136 12244864 12290048 13010168 18870272 24489728 24580096 26020336 37740544 48979456 49160192 52040672 97958912 104081344 195917824 208162688 391835648 416325376 783671296 832650752 1665301504 3330603008 6661206016 13322412032