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1024130200121 = 7275727609797
BaseRepresentation
bin11101110011100101110…
…10101011001000111001
310121220110101122121011122
432321302322223020321
5113234404312400441
62102251240235025
7133663621032500
oct16716272531071
93556411577148
101024130200121
11365370887446
1214659716ba75
1375762550772
14377d5095837
151b98edc534b
hexee72eab239

1024130200121 has 12 divisors (see below), whose sum is σ = 1192908932388. Its totient is φ = 876666242592.

The previous prime is 1024130200109. The next prime is 1024130200127. The reversal of 1024130200121 is 1210020314201.

It can be written as a sum of positive squares in 2 ways, for example, as 531411840400 + 492718359721 = 728980^2 + 701939^2 .

It is not a de Polignac number, because 1024130200121 - 26 = 1024130200057 is a prime.

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 1024130200121.

It is not an unprimeable number, because it can be changed into a prime (1024130200127) 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 11 ways as a sum of consecutive naturals, for example, 13767806 + ... + 13841991.

It is an arithmetic number, because the mean of its divisors is an integer number (99409077699).

Almost surely, 21024130200121 is an apocalyptic number.

It is an amenable number.

1024130200121 is a deficient number, since it is larger than the sum of its proper divisors (168778732267).

1024130200121 is an equidigital number, since it uses as much as digits as its factorization.

1024130200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27610568 (or 27610561 counting only the distinct ones).

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

Adding to 1024130200121 its reverse (1210020314201), we get a palindrome (2234150514322).

The spelling of 1024130200121 in words is "one trillion, twenty-four billion, one hundred thirty million, two hundred thousand, one hundred twenty-one".

Divisors: 1 7 49 757 5299 37093 27609797 193268579 1352880053 20900616329 146304314303 1024130200121