Search a number
-
+
10024540332431 = 972631399280879
BaseRepresentation
bin1001000111100000010100…
…1010100110000110001111
31022111100002110012022021112
42101320011022212012033
52303220224311114211
633153113225322235
72053151311623062
oct221700512460617
938440073168245
1010024540332431
113215424750a99
12115a9a633637b
1357940538b8a1
1426929441c8d9
15125b645b788b
hex91e052a618f

10024540332431 has 16 divisors (see below), whose sum is σ = 10173698304000. Its totient is φ = 9876371551488.

The previous prime is 10024540332427. The next prime is 10024540332511. The reversal of 10024540332431 is 13423304542001.

It is a cyclic number.

It is not a de Polignac number, because 10024540332431 - 22 = 10024540332427 is a prime.

It is a super-2 number, since 2×100245403324312 (a number of 27 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 (10024546332431) 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 15 ways as a sum of consecutive naturals, for example, 35549450 + ... + 35830328.

It is an arithmetic number, because the mean of its divisors is an integer number (635856144000).

Almost surely, 210024540332431 is an apocalyptic number.

10024540332431 is a deficient number, since it is larger than the sum of its proper divisors (149157971569).

10024540332431 is a wasteful number, since it uses less digits than its factorization.

10024540332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282638.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 10024540332431 its reverse (13423304542001), we get a palindrome (23447844874432).

The spelling of 10024540332431 in words is "ten trillion, twenty-four billion, five hundred forty million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 97 263 1399 25511 135703 280879 367937 27245263 35689889 73871177 392949721 7165504169 38116122937 103345776623 10024540332431