Search a number
-
+
1241243011431 = 321941472137501
BaseRepresentation
bin10010000011111111110…
…110010100100101100111
311101122212100201011121100
4102003333312110211213
5130314031202331211
62350115201251143
7155451105341613
oct22037766244547
94348770634540
101241243011431
11439454359005
12180689933ab3
1390083040b97
144410dc20343
152244a8a7156
hex120ffd94967

1241243011431 has 48 divisors (see below), whose sum is σ = 1933762128480. Its totient is φ = 764640000000.

The previous prime is 1241243011427. The next prime is 1241243011441. The reversal of 1241243011431 is 1341103421421.

It is a happy number.

It is not a de Polignac number, because 1241243011431 - 22 = 1241243011427 is a prime.

It is a super-2 number, since 2×12412430114312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1241243011395 and 1241243011404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241243011441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33080181 + ... + 33117681.

It is an arithmetic number, because the mean of its divisors is an integer number (40286711010).

Almost surely, 21241243011431 is an apocalyptic number.

1241243011431 is a deficient number, since it is larger than the sum of its proper divisors (692519117049).

1241243011431 is a wasteful number, since it uses less digits than its factorization.

1241243011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42288 (or 42285 counting only the distinct ones).

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

Adding to 1241243011431 its reverse (1341103421421), we get a palindrome (2582346432852).

The spelling of 1241243011431 in words is "one trillion, two hundred forty-one billion, two hundred forty-three million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 19 41 57 123 171 369 779 2337 4721 7011 14163 37501 42489 89699 112503 193561 269097 337509 580683 712519 807291 1537541 1742049 2137557 3677659 4612623 6412671 11032977 13837869 29213279 33098931 87639837 177042221 262919511 531126663 1593379989 3363802199 7258731061 10091406597 21776193183 30274219791 65328579549 137915890159 413747670477 1241243011431