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320122233122013 = 33711927142011271
BaseRepresentation
bin100100011001001100100001…
…1111111010110110011011101
31112222110101102211121001112000
41020302121003333112303131
5313424340313134401023
63052502042414232513
7124300032235064130
oct11062310377266335
91488411384531460
10320122233122013
1193001093034263
122baa1a001b5739
131098152143058a
145909dda81a217
1527021a975b243
hex1232643fd6cdd

320122233122013 has 32 divisors (see below), whose sum is σ = 542051344773120. Its totient is φ = 182911651850160.

The previous prime is 320122233122009. The next prime is 320122233122033. The reversal of 320122233122013 is 310221332221023.

320122233122013 is a `hidden beast` number, since 3 + 2 + 0 + 122 + 2 + 331 + 2 + 201 + 3 = 666.

It is not a de Polignac number, because 320122233122013 - 22 = 320122233122009 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320122233122033) 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, 68751433 + ... + 73259838.

It is an arithmetic number, because the mean of its divisors is an integer number (16939104524160).

Almost surely, 2320122233122013 is an apocalyptic number.

It is an amenable number.

320122233122013 is a deficient number, since it is larger than the sum of its proper divisors (221929111651107).

320122233122013 is a wasteful number, since it uses less digits than its factorization.

320122233122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142023214 (or 142023208 counting only the distinct ones).

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

Adding to 320122233122013 its reverse (310221332221023), we get a palindrome (630343565343036).

The spelling of 320122233122013 in words is "three hundred twenty trillion, one hundred twenty-two billion, two hundred thirty-three million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 189 11927 35781 83489 107343 250467 322029 751401 2254203 142011271 426033813 994078897 1278101439 2982236691 3834304317 8946710073 26840130219 1693768429217 5081305287651 11856379004519 15243915862953 35569137013557 45731747588859 106707411040671 320122233122013