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1320104010231 = 322937136699183
BaseRepresentation
bin10011001101011100010…
…101001010000111110111
311200012102022120222200200
4103031130111022013313
5133112033111311411
62450240350211543
7164242256642166
oct23153425120767
94605368528620
101320104010231
11469942331686
12193a181b3bb3
13976401bac96
1447c715c73dd
1524513d88e56
hex1335c54a1f7

1320104010231 has 24 divisors (see below), whose sum is σ = 2025881906880. Its totient is φ = 826756652736.

The previous prime is 1320104010209. The next prime is 1320104010233.

1320104010231 is a `hidden beast` number, since 1 + 3 + 20 + 10 + 401 + 0 + 231 = 666.

1320104010231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1320104010231 - 221 = 1320101913079 is a prime.

It is a super-5 number, since 5×13201040102315 (a number of 62 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320104010233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68339935 + ... + 68359248.

It is an arithmetic number, because the mean of its divisors is an integer number (84411746120).

Almost surely, 21320104010231 is an apocalyptic number.

1320104010231 is a deficient number, since it is larger than the sum of its proper divisors (705777896649).

1320104010231 is a wasteful number, since it uses less digits than its factorization.

1320104010231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136699255 (or 136699252 counting only the distinct ones).

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

The spelling of 1320104010231 in words is "one trillion, three hundred twenty billion, one hundred four million, ten thousand, two hundred thirty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 136699183 410097549 1230292647 3964276307 5057869771 11892828921 15173609313 35678486763 45520827939 146678223359 440034670077 1320104010231