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1024321044131 = 71167635331253
BaseRepresentation
bin11101110011111100100…
…10101011111010100011
310121220221200202110221022
432321332102223322203
5113240302141403011
62102322214520055
7134001426134150
oct16717622537243
93556850673838
101024321044131
11365459586370
1214662b06602b
1375792c50408
1437812573227
151b9a1a218db
hexee7e4abea3

1024321044131 has 32 divisors (see below), whose sum is σ = 1296381915648. Its totient is φ = 786110307840.

The previous prime is 1024321044121. The next prime is 1024321044151. The reversal of 1024321044131 is 1314401234201.

It is a de Polignac number, because none of the positive numbers 2k-1024321044131 is a prime.

It is a super-2 number, since 2×10243210441312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1024321044131.

It is not an unprimeable number, because it can be changed into a prime (1024321044121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32759501 + ... + 32790753.

It is an arithmetic number, because the mean of its divisors is an integer number (40511934864).

Almost surely, 21024321044131 is an apocalyptic number.

1024321044131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024321044131 is a deficient number, since it is larger than the sum of its proper divisors (272060871517).

1024321044131 is a wasteful number, since it uses less digits than its factorization.

1024321044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37691.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1024321044131 its reverse (1314401234201), we get a palindrome (2338722278332).

The spelling of 1024321044131 in words is "one trillion, twenty-four billion, three hundred twenty-one million, forty-four thousand, one hundred thirty-one".

Divisors: 1 7 11 67 77 469 737 5159 6353 31253 44471 69883 218771 343783 425651 489181 2093951 2406481 2979557 4682161 14657657 23033461 32775127 161234227 198550309 1389852163 2184053399 13302870703 15288373793 93120094921 146331577733 1024321044131