Search a number
-
+
20121332301 = 3271999159773
BaseRepresentation
bin10010101111010100…
…110010101001001101
31220221021211120212200
4102233110302221031
5312202030113201
613124341552113
71311424334250
oct225724625115
956837746780
1020121332301
118595a70854
123a96715639
131b8887a0b5
14d8c46b097
157cb736386
hex4af532a4d

20121332301 has 24 divisors (see below), whose sum is σ = 33232992000. Its totient is φ = 11492080416.

The previous prime is 20121332299. The next prime is 20121332303. The reversal of 20121332301 is 10323312102.

20121332301 is a `hidden beast` number, since 20 + 12 + 1 + 332 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (20121332299) and next prime (20121332303).

It is not a de Polignac number, because 20121332301 - 21 = 20121332299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121332303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46051 + ... + 205823.

It is an arithmetic number, because the mean of its divisors is an integer number (1384708000).

Almost surely, 220121332301 is an apocalyptic number.

20121332301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121332301 is a deficient number, since it is larger than the sum of its proper divisors (13111659699).

20121332301 is a wasteful number, since it uses less digits than its factorization.

20121332301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161785 (or 161782 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20121332301 its reverse (10323312102), we get a palindrome (30444644403).

The spelling of 20121332301 in words is "twenty billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 63 1999 5997 13993 17991 41979 125937 159773 479319 1118411 1437957 3355233 10065699 319386227 958158681 2235703589 2874476043 6707110767 20121332301