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1311200023301 = 7226999476521
BaseRepresentation
bin10011000101001001100…
…111001001001100000101
311122100102210011120211222
4103011021213021030011
5132440314201221201
62442205035010125
7163505521206500
oct23051147111405
94570383146758
101311200023301
114660932594a3
12192152299945
13968515b686c
1447668c46137
152419232591b
hex131499c9305

1311200023301 has 12 divisors (see below), whose sum is σ = 1530943673580. Its totient is φ = 1119707709120.

The previous prime is 1311200023291. The next prime is 1311200023307. The reversal of 1311200023301 is 1033200021131.

It can be written as a sum of positive squares in 2 ways, for example, as 666068176900 + 645131846401 = 816130^2 + 803201^2 .

It is not a de Polignac number, because 1311200023301 - 210 = 1311200022277 is a prime.

It is a super-2 number, since 2×13112000233012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311200023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311200023307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49725080 + ... + 49751441.

It is an arithmetic number, because the mean of its divisors is an integer number (127578639465).

Almost surely, 21311200023301 is an apocalyptic number.

It is an amenable number.

1311200023301 is a deficient number, since it is larger than the sum of its proper divisors (219743650279).

1311200023301 is an equidigital number, since it uses as much as digits as its factorization.

1311200023301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99476804 (or 99476797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1311200023301 its reverse (1033200021131), we get a palindrome (2344400044432).

The spelling of 1311200023301 in words is "one trillion, three hundred eleven billion, two hundred million, twenty-three thousand, three hundred one".

Divisors: 1 7 49 269 1883 13181 99476521 696335647 4874349529 26759184149 187314289043 1311200023301