Search a number
-
+
1001201112121 = 7794223942863
BaseRepresentation
bin11101001000111000011…
…11001001010000111001
310112201021102112020120011
432210130033021100321
5112400424441041441
62043540114301521
7132222461015440
oct16443417112071
93481242466504
101001201112121
11356674a21241
121420582878a1
137354a08c282
143665bb85d57
151b09be21581
hexe91c3c9439

1001201112121 has 16 divisors (see below), whose sum is σ = 1158768230400. Its totient is φ = 847269613008.

The previous prime is 1001201112029. The next prime is 1001201112143. The reversal of 1001201112121 is 1212111021001.

It is a happy number.

It is not a de Polignac number, because 1001201112121 - 239 = 451445298233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001201115121) 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 15 ways as a sum of consecutive naturals, for example, 23336736 + ... + 23379598.

It is an arithmetic number, because the mean of its divisors is an integer number (72423014400).

Almost surely, 21001201112121 is an apocalyptic number.

It is an amenable number.

1001201112121 is a deficient number, since it is larger than the sum of its proper divisors (157567118279).

1001201112121 is an equidigital number, since it uses as much as digits as its factorization.

1001201112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85188.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001201112121 its reverse (1212111021001), we get a palindrome (2213312133122).

The spelling of 1001201112121 in words is "one trillion, one billion, two hundred one million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 79 553 42239 42863 295673 300041 3336881 3386177 23358167 23703239 1810490257 12673431799 143028730303 1001201112121