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13321313232 = 2434094671453
BaseRepresentation
bin11000110100000001…
…10001101111010000
31021101101101211100120
430122000301233100
5204240224010412
610041505550240
7651054202623
oct143200615720
937341354316
1013321313232
115716596887
1226b9345380
131343b22886
149052c9dba
1552e770b8c
hex31a031bd0

13321313232 has 80 divisors (see below), whose sum is σ = 34595196480. Its totient is φ = 4417053696.

The previous prime is 13321313209. The next prime is 13321313233. The reversal of 13321313232 is 23231312331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321313233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9167418 + ... + 9168870.

It is an arithmetic number, because the mean of its divisors is an integer number (432439956).

Almost surely, 213321313232 is an apocalyptic number.

13321313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321313232 is an abundant number, since it is smaller than the sum of its proper divisors (21273883248).

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

13321313232 is a wasteful number, since it uses less digits than its factorization.

13321313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2334 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13321313232 its reverse (23231312331), we get a palindrome (36552625563).

Subtracting 13321313232 from its reverse (23231312331), we obtain a palindrome (9909999099).

The spelling of 13321313232 in words is "thirteen billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 467 818 934 1227 1401 1453 1636 1868 2454 2802 2906 3272 3736 4359 4908 5604 5812 6544 7472 8718 9816 11208 11624 17436 19632 22416 23248 34872 69744 191003 382006 573009 594277 678551 764012 1146018 1188554 1357102 1528024 1782831 2035653 2292036 2377108 2714204 3056048 3565662 4071306 4584072 4754216 5428408 7131324 8142612 9168144 9508432 10856816 14262648 16285224 28525296 32570448 277527359 555054718 832582077 1110109436 1665164154 2220218872 3330328308 4440437744 6660656616 13321313232