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13322411232 = 2531373257569
BaseRepresentation
bin11000110100001001…
…11101110011100000
31021101110110121112020
430122010331303200
5204241014124412
610041545301440
7651066425034
oct143204756340
937343417466
1013322411232
115717176819
1226b9794880
131344118590
149054d41c4
1552e8db18c
hex31a13dce0

13322411232 has 192 divisors, whose sum is σ = 38393248320. Its totient is φ = 4020240384.

The previous prime is 13322411213. The next prime is 13322411237. The reversal of 13322411232 is 23211422331.

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 (13322411237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23413444 + ... + 23414012.

It is an arithmetic number, because the mean of its divisors is an integer number (199964835).

Almost surely, 213322411232 is an apocalyptic number.

13322411232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196624160).

13322411232 is an abundant number, since it is smaller than the sum of its proper divisors (25070837088).

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

13322411232 is a wasteful number, since it uses less digits than its factorization.

13322411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13322411232 its reverse (23211422331), we get a palindrome (36533833563).

The spelling of 13322411232 in words is "thirteen billion, three hundred twenty-two million, four hundred eleven thousand, two hundred thirty-two".