Search a number
-
+
102102122001 = 31110723288539
BaseRepresentation
bin101111100010111000…
…0101011111000010001
3100202112200011012112010
41133011300223320101
53133101120401001
6114523254453133
710243120501035
oct1370560537021
9322480135463
10102102122001
113a334a93510
12179559641a9
139822191409
144d283001c5
1529c8a708d6
hex17c5c2be11

102102122001 has 16 divisors (see below), whose sum is σ = 148526542080. Its totient is φ = 61874088720.

The previous prime is 102102121997. The next prime is 102102122033. The reversal of 102102122001 is 100221201201.

It is not a de Polignac number, because 102102122001 - 22 = 102102121997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102122701) 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, 209590 + ... + 498128.

It is an arithmetic number, because the mean of its divisors is an integer number (9282908880).

Almost surely, 2102102122001 is an apocalyptic number.

102102122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102122001 is a deficient number, since it is larger than the sum of its proper divisors (46424420079).

102102122001 is a wasteful number, since it uses less digits than its factorization.

102102122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299276.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102122001 its reverse (100221201201), we get a palindrome (202323323202).

The spelling of 102102122001 in words is "one hundred two billion, one hundred two million, one hundred twenty-two thousand, one".

Divisors: 1 3 11 33 10723 32169 117953 288539 353859 865617 3173929 9521787 3094003697 9282011091 34034040667 102102122001