Search a number
-
+
10424112131401 = 178925730787323
BaseRepresentation
bin1001011110110000110110…
…0000000010110101001001
31100220112110022000210212221
42113230031200002311021
52331242040201201101
634100434311534041
72124055134105433
oct227541540026511
940815408023787
1010424112131401
1133599285a6641
12120431a08a321
135a7cb3093427
1428075b799653
1513124d5cbaa1
hex97b0d802d49

10424112131401 has 32 divisors (see below), whose sum is σ = 11241365224320. Its totient is φ = 9631362318336.

The previous prime is 10424112131393. The next prime is 10424112131417. The reversal of 10424112131401 is 10413121142401.

It is not a de Polignac number, because 10424112131401 - 23 = 10424112131393 is a prime.

It is a super-2 number, since 2×104241121314012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10424112131471) 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 31 ways as a sum of consecutive naturals, for example, 119330526 + ... + 119417848.

It is an arithmetic number, because the mean of its divisors is an integer number (351292663260).

Almost surely, 210424112131401 is an apocalyptic number.

It is an amenable number.

10424112131401 is a deficient number, since it is larger than the sum of its proper divisors (817253092919).

10424112131401 is a wasteful number, since it uses less digits than its factorization.

10424112131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87993.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10424112131401 its reverse (10413121142401), we get a palindrome (20837233273802).

The spelling of 10424112131401 in words is "ten trillion, four hundred twenty-four billion, one hundred twelve million, one hundred thirty-one thousand, four hundred one".

Divisors: 1 17 89 257 307 1513 4369 5219 22873 27323 78899 87323 388841 464491 1341283 1484491 7022011 7771747 22442011 26808161 119374187 132119699 381514187 455738737 1997338979 2385926329 6889697377 33954762643 40560747593 117124855409 613183066553 10424112131401