Search a number
-
+
121132121202 = 23246114597749
BaseRepresentation
bin111000011010000001…
…0010111110001110010
3102120122220110022211100
41300310002113301302
53441034310334302
6131351453425230
711515524020211
oct1606402276162
9376586408740
10121132121202
114740aa19584
121b586a9b216
13b565903681
145c11847078
15323e583d1c
hex1c34097c72

121132121202 has 24 divisors (see below), whose sum is σ = 263022259500. Its totient is φ = 40289784480.

The previous prime is 121132121197. The next prime is 121132121207. The reversal of 121132121202 is 202121231121.

121132121202 is a `hidden beast` number, since 121 + 1 + 321 + 21 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (121132121197) and next prime (121132121207).

It can be written as a sum of positive squares in 2 ways, for example, as 120305616201 + 826505001 = 346851^2 + 28749^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121132121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7290577 + ... + 7307172.

Almost surely, 2121132121202 is an apocalyptic number.

121132121202 is an abundant number, since it is smaller than the sum of its proper divisors (141890138298).

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

121132121202 is a wasteful number, since it uses less digits than its factorization.

121132121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598218 (or 14598215 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121132121202 its reverse (202121231121), we get a palindrome (323253352323).

The spelling of 121132121202 in words is "one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 461 922 1383 2766 4149 8298 14597749 29195498 43793247 87586494 131379741 262759482 6729562289 13459124578 20188686867 40377373734 60566060601 121132121202