Search a number
-
+
21120112102001 = 1173181145312207
BaseRepresentation
bin1001100110101011010001…
…10001111000101001110001
32202210001200220222220200012
410303111220301320221301
510232012442144231001
6112530240123504305
74306610031551213
oct463255061705161
982701626886605
1021120112102001
116802a97754a30
122451276988095
13ba2805a56983
1453030c86c5b3
152695b13482bb
hex133568c78a71

21120112102001 has 16 divisors (see below), whose sum is σ = 23484777808128. Its totient is φ = 18832461897600.

The previous prime is 21120112101989. The next prime is 21120112102013. The reversal of 21120112102001 is 10020121102112.

It is an interprime number because it is at equal distance from previous prime (21120112101989) and next prime (21120112102013).

It is a cyclic number.

It is not a de Polignac number, because 21120112102001 - 214 = 21120112085617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21120112102031) 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, 72510761 + ... + 72801446.

It is an arithmetic number, because the mean of its divisors is an integer number (1467798613008).

Almost surely, 221120112102001 is an apocalyptic number.

It is an amenable number.

21120112102001 is a deficient number, since it is larger than the sum of its proper divisors (2364665706127).

21120112102001 is a wasteful number, since it uses less digits than its factorization.

21120112102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145312472.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21120112102001 its reverse (10020121102112), we get a palindrome (31140233204113).

The spelling of 21120112102001 in words is "twenty-one trillion, one hundred twenty billion, one hundred twelve million, one hundred two thousand, one".

Divisors: 1 11 73 181 803 1991 13213 145343 145312207 1598434277 10607791111 26301509467 116685702221 289316604137 1920010191091 21120112102001