Search a number
-
+
121413132396 = 22323372587011
BaseRepresentation
bin111000100010011001…
…0010110000001101100
3102121101111020011201100
41301010302112001230
53442123230214041
6131435412443100
711525505411633
oct1610462260154
9377344204640
10121413132396
1147544603436
121b645019490
13b5abbb339a
145c3acb651a
1532590916b6
hex1c44c9606c

121413132396 has 18 divisors (see below), whose sum is σ = 306905418092. Its totient is φ = 40471044120.

The previous prime is 121413132391. The next prime is 121413132419. The reversal of 121413132396 is 693231314121.

121413132396 is a `hidden beast` number, since 1 + 2 + 1 + 413 + 1 + 3 + 239 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1214131323962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3372587011 = 121413132396 / (1 + 2 + 1 + 4 + 1 + 3 + 1 + 3 + 2 + 3 + 9 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121413132396.

It is not an unprimeable number, because it can be changed into a prime (121413132391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1686293470 + ... + 1686293541.

Almost surely, 2121413132396 is an apocalyptic number.

It is an amenable number.

121413132396 is an abundant number, since it is smaller than the sum of its proper divisors (185492285696).

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

121413132396 is a wasteful number, since it uses less digits than its factorization.

121413132396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372587021 (or 3372587016 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 121413132396 in words is "one hundred twenty-one billion, four hundred thirteen million, one hundred thirty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3372587011 6745174022 10117761033 13490348044 20235522066 30353283099 40471044132 60706566198 121413132396