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320112123201 = 3413417414637
BaseRepresentation
bin1001010100010000010…
…10110101110101000001
31010121021011102202010000
410222020022311311001
520221042200420301
6403020225430213
732061451103133
oct4521012656501
91117234382100
10320112123201
11113838a48122
1252058a9b369
1324256803120
14116ca293053
1584d81c6786
hex4a882b5d41

320112123201 has 40 divisors (see below), whose sum is σ = 527536664424. Its totient is φ = 192187365120.

The previous prime is 320112123169. The next prime is 320112123209. The reversal of 320112123201 is 102321211023.

320112123201 is a `hidden beast` number, since 320 + 1 + 1 + 21 + 2 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16185946176 + 303926177025 = 127224^2 + 551295^2 .

It is not a de Polignac number, because 320112123201 - 25 = 320112123169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320112123209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3664146 + ... + 3750491.

Almost surely, 2320112123201 is an apocalyptic number.

It is an amenable number.

320112123201 is a deficient number, since it is larger than the sum of its proper divisors (207424541223).

320112123201 is a wasteful number, since it uses less digits than its factorization.

320112123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414703 (or 7414694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320112123201 its reverse (102321211023), we get a palindrome (422433334224).

The spelling of 320112123201 in words is "three hundred twenty billion, one hundred twelve million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 1053 1107 1599 3321 4797 14391 43173 7414637 22243911 66731733 96390281 200195199 289170843 304000117 600585597 867512529 912000351 2602537587 2736001053 3952001521 7807612761 8208003159 11856004563 24624009477 35568013689 106704041067 320112123201