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322113231020232 = 2333151337101928759
BaseRepresentation
bin100100100111101011101010…
…0101101100110000011001000
31120020111201112220101202101000
41021033113110231212003020
5314210000344120121412
63101024435301055000
7124563625101015411
oct11117272455460310
91506451486352330
10322113231020232
11936a94aa488803
12301638513b7460
1310a971bb959ab2
1459785138a8808
152738d872944dc
hex124f5d4b660c8

322113231020232 has 256 divisors, whose sum is σ = 904275141120000. Its totient is φ = 106235456947200.

The previous prime is 322113231020213. The next prime is 322113231020233. The reversal of 322113231020232 is 232020132311223.

322113231020232 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 1 + 323 + 102 + 0 + 232 = 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 = 322113231020196 and 322113231020205.

It is not an unprimeable number, because it can be changed into a prime (322113231020233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11200417869 + ... + 11200446627.

It is an arithmetic number, because the mean of its divisors is an integer number (3532324770000).

Almost surely, 2322113231020232 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 322113231020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452137570560000).

322113231020232 is an abundant number, since it is smaller than the sum of its proper divisors (582161910099768).

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

322113231020232 is a wasteful number, since it uses less digits than its factorization.

322113231020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30281 (or 30271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 322113231020232 its reverse (232020132311223), we get a palindrome (554133363331455).

The spelling of 322113231020232 in words is "three hundred twenty-two trillion, one hundred thirteen billion, two hundred thirty-one million, twenty thousand, two hundred thirty-two".