Search a number
-
+
2331201211101 = 3271031997179897
BaseRepresentation
bin100001111011000110011…
…010111000101011011101
322020212020102100121221100
4201323012122320223131
5301143300002223401
64542534500223313
7330265224230430
oct41730632705335
98225212317840
102331201211101
11819725344864
1231797669ab39
1313baa6584869
1480b8b7a3817
154098e98eb86
hex21ec66b8add

2331201211101 has 48 divisors (see below), whose sum is σ = 3887661982464. Its totient is φ = 1318513911552.

The previous prime is 2331201211067. The next prime is 2331201211133. The reversal of 2331201211101 is 1011121021332.

2331201211101 is a `hidden beast` number, since 2 + 331 + 20 + 1 + 211 + 101 = 666.

It is not a de Polignac number, because 2331201211101 - 26 = 2331201211037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331201211181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12868585 + ... + 13048481.

It is an arithmetic number, because the mean of its divisors is an integer number (80992957968).

Almost surely, 22331201211101 is an apocalyptic number.

2331201211101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2331201211101 is a deficient number, since it is larger than the sum of its proper divisors (1556460771363).

2331201211101 is a wasteful number, since it uses less digits than its factorization.

2331201211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182010 (or 182007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2331201211101 its reverse (1011121021332), we get a palindrome (3342322232433).

The spelling of 2331201211101 in words is "two trillion, three hundred thirty-one billion, two hundred one million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 21 63 103 309 721 927 1997 2163 5991 6489 13979 17973 41937 125811 179897 205691 539691 617073 1259279 1439837 1619073 1851219 3777837 4319511 11333511 12958533 18529391 55588173 129705737 166764519 359254309 389117211 1077762927 1167351633 2514780163 3233288781 7544340489 22633021467 37003193827 111009581481 259022356789 333028744443 777067070367 2331201211101