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13021333232 = 2419347123439
BaseRepresentation
bin11000010000010000…
…11100011011110000
31020121110221021011012
430020020130123300
5203131430130412
65552032210052
7640452335435
oct141010343360
936543837135
1013021333232
115582226426
122634999928
1312c6930c0b
148b751db8c
15513267c22
hex30821c6f0

13021333232 has 40 divisors (see below), whose sum is σ = 26633414400. Its totient is φ = 6150174912.

The previous prime is 13021333187. The next prime is 13021333261. The reversal of 13021333232 is 23233312031.

It is a junction number, because it is equal to n+sod(n) for n = 13021333198 and 13021333207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43769 + ... + 167207.

It is an arithmetic number, because the mean of its divisors is an integer number (665835360).

Almost surely, 213021333232 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 13021333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316707200).

13021333232 is an abundant number, since it is smaller than the sum of its proper divisors (13612081168).

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

13021333232 is a wasteful number, since it uses less digits than its factorization.

13021333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123813 (or 123807 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13021333232 its reverse (23233312031), we get a palindrome (36254645263).

The spelling of 13021333232 in words is "thirteen billion, twenty-one million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 347 694 1388 2776 5552 6593 13186 26372 52744 105488 123439 246878 493756 987512 1975024 2345341 4690682 9381364 18762728 37525456 42833333 85666666 171333332 342666664 685333328 813833327 1627666654 3255333308 6510666616 13021333232