Search a number
-
+
20314143101241 = 3211434771938713
BaseRepresentation
bin1001001111001110000010…
…10010001001000100111001
32122221000100120010111222100
410213213001102021010321
510130311331113214431
6111112104415014013
74164435255230463
oct447470122110471
978830316114870
1020314143101241
1165221a8212660
12234102550a309
13b448002762b2
145032d1887133
1525363dee34e6
hex1279c1489139

20314143101241 has 24 divisors (see below), whose sum is σ = 32754587332896. Its totient is φ = 12025285554240.

The previous prime is 20314143101237. The next prime is 20314143101279. The reversal of 20314143101241 is 14210134141302.

It is a happy number.

20314143101241 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 414 + 3 + 1 + 0 + 1 + 241 = 666.

It is not a de Polignac number, because 20314143101241 - 22 = 20314143101237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20314143101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2385965100 + ... + 2385973613.

It is an arithmetic number, because the mean of its divisors is an integer number (1364774472204).

Almost surely, 220314143101241 is an apocalyptic number.

It is an amenable number.

20314143101241 is a deficient number, since it is larger than the sum of its proper divisors (12440444231655).

20314143101241 is a wasteful number, since it uses less digits than its factorization.

20314143101241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771938773 (or 4771938770 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20314143101241 its reverse (14210134141302), we get a palindrome (34524277242543).

The spelling of 20314143101241 in words is "twenty trillion, three hundred fourteen billion, one hundred forty-three million, one hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 4771938713 14315816139 42947448417 52491325843 157473977529 205193364659 472421932587 615580093977 1846740281931 2257127011249 6771381033747 20314143101241