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20301401141 = 722335213413
BaseRepresentation
bin10010111010000011…
…101100110000110101
31221101211200000212222
4102322003230300311
5313034124314031
613154253252125
71316042030300
oct227203546065
957354600788
1020301401141
11867868017a
123b26a94045
131bb6c763c8
14da8341b37
157dc454e7b
hex4ba0ecc35

20301401141 has 24 divisors (see below), whose sum is σ = 23769756504. Its totient is φ = 17288194560.

The previous prime is 20301401137. The next prime is 20301401167. The reversal of 20301401141 is 14110410302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3023350225 + 17278050916 = 54985^2 + 131446^2 .

It is not a de Polignac number, because 20301401141 - 22 = 20301401137 is a prime.

It is a super-2 number, since 2×203014011412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301401111) 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 23 ways as a sum of consecutive naturals, for example, 5946551 + ... + 5949963.

It is an arithmetic number, because the mean of its divisors is an integer number (990406521).

Almost surely, 220301401141 is an apocalyptic number.

It is an amenable number.

20301401141 is a deficient number, since it is larger than the sum of its proper divisors (3468355363).

20301401141 is a wasteful number, since it uses less digits than its factorization.

20301401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20301401141 its reverse (14110410302), we get a palindrome (34411811443).

The spelling of 20301401141 in words is "twenty billion, three hundred one million, four hundred one thousand, one hundred forty-one".

Divisors: 1 7 49 233 521 1631 3413 3647 11417 23891 25529 121393 167237 795229 849751 1778173 5566603 5948257 12447211 38966221 87130477 414314309 2900200163 20301401141