Search a number
-
+
121130210112102 = 2354311388757829
BaseRepresentation
bin11011100010101011010011…
…001001010011001001100110
3120212212221020121111111200000
4123202223103021103021212
5111334044132242041402
61105342241134002130
734341240345502242
oct3342532311231146
9525787217444600
10121130210112102
11356610408285a4
1211703a1a346346
1352786b6c84c09
1421caa3a837422
15e00d1c3d5c1c
hex6e2ad3253266

121130210112102 has 192 divisors, whose sum is σ = 281284838714880. Its totient is φ = 39043992605184.

The previous prime is 121130210112089. The next prime is 121130210112127. The reversal of 121130210112102 is 201211012031121.

It is a happy number.

121130210112102 is a `hidden beast` number, since 1 + 211 + 30 + 210 + 1 + 1 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2094598524 + ... + 2094656352.

It is an arithmetic number, because the mean of its divisors is an integer number (1465025201640).

Almost surely, 2121130210112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130210112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140642419357440).

121130210112102 is an abundant number, since it is smaller than the sum of its proper divisors (160154628602778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121130210112102 is a wasteful number, since it uses less digits than its factorization.

121130210112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58889 (or 58877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121130210112102 its reverse (201211012031121), we get a palindrome (322341222143223).

The spelling of 121130210112102 in words is "one hundred twenty-one trillion, one hundred thirty billion, two hundred ten million, one hundred twelve thousand, one hundred two".