Search a number
-
+
1311122020301 = 41831949197683
BaseRepresentation
bin10011000101000100111…
…101100101011111001101
311122100020100101121211222
4103011010331211133031
5132440134214122201
62442153211053125
7163503553201502
oct23050475453715
94570210347758
101311122020301
11466053221705
121921301411a5
139683b3a5442
144765c73d4a9
152418a56891b
hex13144f657cd

1311122020301 has 16 divisors (see below), whose sum is σ = 1359986846400. Its totient is φ = 1263077278080.

The previous prime is 1311122020231. The next prime is 1311122020319. The reversal of 1311122020301 is 1030202211131.

It is a de Polignac number, because none of the positive numbers 2k-1311122020301 is a prime.

It is a super-2 number, since 2×13111220203012 (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 1311122020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311122020361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6533606 + ... + 6731288.

It is an arithmetic number, because the mean of its divisors is an integer number (84999177900).

Almost surely, 21311122020301 is an apocalyptic number.

It is an amenable number.

1311122020301 is a deficient number, since it is larger than the sum of its proper divisors (48864826099).

1311122020301 is a wasteful number, since it uses less digits than its factorization.

1311122020301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199756.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1311122020301 its reverse (1030202211131), we get a palindrome (2341324231432).

The spelling of 1311122020301 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, twenty thousand, three hundred one".

Divisors: 1 41 83 1949 3403 79909 161767 197683 6632447 8105003 16407689 385284167 672715249 15796650847 31978585861 1311122020301