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231110211102001 = 721110115128114609
BaseRepresentation
bin110100100011000110001010…
…000010010110010100110001
31010022021220211222101022102021
4310203012022002112110301
5220243002203020231001
62135310322033351441
766452106322460200
oct6443061202262461
91108256758338367
10231110211102001
1167703321155470
1221b0685a108581
139bc57a3b3718a
14410db1866d237
151baba90ec5ba1
hexd2318a096531

231110211102001 has 48 divisors (see below), whose sum is σ = 298148016792960. Its totient is φ = 177122030400000.

The previous prime is 231110211101971. The next prime is 231110211102011. The reversal of 231110211102001 is 100201112011132.

It is a happy number.

It is not a de Polignac number, because 231110211102001 - 211 = 231110211099953 is a prime.

It is a super-2 number, since 2×2311102111020012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231110211102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5837016 + ... + 22277593.

It is an arithmetic number, because the mean of its divisors is an integer number (6211417016520).

Almost surely, 2231110211102001 is an apocalyptic number.

It is an amenable number.

231110211102001 is a deficient number, since it is larger than the sum of its proper divisors (67037805690959).

231110211102001 is a wasteful number, since it uses less digits than its factorization.

231110211102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28114886 (or 28114879 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 231110211102001 its reverse (100201112011132), we get a palindrome (331311323113133).

The spelling of 231110211102001 in words is "two hundred thirty-one trillion, one hundred ten billion, two hundred eleven million, one hundred two thousand, one".

Divisors: 1 7 11 49 77 101 151 539 707 1057 1111 1661 4949 7399 7777 11627 15251 54439 81389 106757 167761 747299 1174327 8220289 28114609 196802263 309260699 1377615841 2164824893 2839575509 4245305959 15153774251 19877028563 29717141713 31235330599 46698365549 139139199941 208019991991 218647314193 326888558843 428775901859 1530531199351 2288219911901 3001431313013 4716534920449 21010019191091 33015744443143 231110211102001