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111002000121 = 32193530912037
BaseRepresentation
bin110011101100000111…
…1000001101011111001
3101121111220211212010200
41213120033001223321
53304313003000441
6122554342032413
711006506301415
oct1473017015371
9347456755120
10111002000121
114309180a691
121961a418709
13a60cc8759c
1455302d1d45
152d4a0717b6
hex19d83c1af9

111002000121 has 24 divisors (see below), whose sum is σ = 161210729160. Its totient is φ = 73597925376.

The previous prime is 111002000093. The next prime is 111002000141. The reversal of 111002000121 is 121000200111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21334692096 + 89667308025 = 146064^2 + 299445^2 .

It is not a de Polignac number, because 111002000121 - 27 = 111001999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111002000141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215715 + ... + 9227751.

It is an arithmetic number, because the mean of its divisors is an integer number (6717113715).

Almost surely, 2111002000121 is an apocalyptic number.

It is an amenable number.

111002000121 is a deficient number, since it is larger than the sum of its proper divisors (50208729039).

111002000121 is a wasteful number, since it uses less digits than its factorization.

111002000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17542 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111002000121 its reverse (121000200111), we get a palindrome (232002200232).

The spelling of 111002000121 in words is "one hundred eleven billion, two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 193 579 1737 5309 12037 15927 36111 47781 108333 1024637 2323141 3073911 6969423 9221733 20908269 63904433 191713299 575139897 12333555569 37000666707 111002000121