Search a number
-
+
3002131132121 = 112361216190017
BaseRepresentation
bin101011101011111100111…
…101011010111011011001
3101122000000200101000010102
4223223330331122323121
5343141331032211441
610215054321025145
7426616415403212
oct53537475327331
911560020330112
103002131132121
11a582188388a0
124059bb7851b5
1318a13b1cb124
14a5437d68409
155315b8aa69b
hex2bafcf5aed9

3002131132121 has 32 divisors (see below), whose sum is σ = 3475115364096. Its totient is φ = 2566536192000.

The previous prime is 3002131132103. The next prime is 3002131132127. The reversal of 3002131132121 is 1212311312003.

It is a happy number.

It is not a de Polignac number, because 3002131132121 - 218 = 3002130869977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3002131132093 and 3002131132102.

It is not an unprimeable number, because it can be changed into a prime (3002131132127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33305705 + ... + 33395721.

It is an arithmetic number, because the mean of its divisors is an integer number (108597355128).

Almost surely, 23002131132121 is an apocalyptic number.

It is an amenable number.

3002131132121 is a deficient number, since it is larger than the sum of its proper divisors (472984231975).

3002131132121 is a wasteful number, since it uses less digits than its factorization.

3002131132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92273.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3002131132121 its reverse (1212311312003), we get a palindrome (4214442444124).

The spelling of 3002131132121 in words is "three trillion, two billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 23 61 253 671 1403 2161 15433 23771 49703 90017 131821 546733 990187 1450031 2070391 3031883 5491037 22774301 33350713 60401407 126293851 194526737 1389232361 2139794107 4474114951 11866130957 49215264461 130527440527 272921012011 3002131132121