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13303332130032 = 2434723173368539
BaseRepresentation
bin1100000110010110110001…
…1000101100110011110000
31202002210020002102022010000
43001211230120230303300
53220430211011130112
644143244424510000
72542063654225620
oct301455430546360
952083202368100
1013303332130032
114269a0319666a
1215aa33701b300
13756663c389a9
1433dc55908880
151810b46437dc
hexc196c62ccf0

13303332130032 has 400 divisors, whose sum is σ = 46183003384320. Its totient is φ = 3614667876864.

The previous prime is 13303332130031. The next prime is 13303332130133. The reversal of 13303332130032 is 23003123330331.

13303332130032 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 3 + 321 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13303332129978 and 13303332130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303332130031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35913219 + ... + 36281757.

Almost surely, 213303332130032 is an apocalyptic number.

13303332130032 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 13303332130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091501692160).

13303332130032 is an abundant number, since it is smaller than the sum of its proper divisors (32879671254288).

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

13303332130032 is a wasteful number, since it uses less digits than its factorization.

13303332130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368762 (or 368747 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13303332130032 its reverse (23003123330331), we get a palindrome (36306455460363).

The spelling of 13303332130032 in words is "thirteen trillion, three hundred three billion, three hundred thirty-two million, one hundred thirty thousand, thirty-two".