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2131313301 = 321318216353
BaseRepresentation
bin111111100001001…
…0100001010010101
312111112102221012200
41333002110022111
513331104011201
6551253235113
7103546602255
oct17702241225
95445387180
102131313301
119a4086257
124b5932a99
1327c732840
141630bb965
15c71a0386
hex7f094295

2131313301 has 12 divisors (see below), whose sum is σ = 3315376428. Its totient is φ = 1311577344.

The previous prime is 2131313293. The next prime is 2131313309. The reversal of 2131313301 is 1033131312.

It is a happy number.

2131313301 is a `hidden beast` number, since 21 + 31 + 313 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (2131313293) and next prime (2131313309).

It can be written as a sum of positive squares in 2 ways, for example, as 1464899076 + 666414225 = 38274^2 + 25815^2 .

It is not a de Polignac number, because 2131313301 - 23 = 2131313293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131313309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9108060 + ... + 9108293.

It is an arithmetic number, because the mean of its divisors is an integer number (276281369).

Almost surely, 22131313301 is an apocalyptic number.

It is an amenable number.

2131313301 is a deficient number, since it is larger than the sum of its proper divisors (1184063127).

2131313301 is a wasteful number, since it uses less digits than its factorization.

2131313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216372 (or 18216369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2131313301 is about 46166.1488647255. The cubic root of 2131313301 is about 1286.9127345413.

Adding to 2131313301 its reverse (1033131312), we get a palindrome (3164444613).

The spelling of 2131313301 in words is "two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 13 39 117 18216353 54649059 163947177 236812589 710437767 2131313301