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10057204871 = 73236120899
BaseRepresentation
bin10010101110111010…
…01100010010000111
3221221220101221110022
421113131030102013
5131044121023441
64341544445355
7504140555000
oct112735142207
927856357408
1010057204871
1142a103696a
121b4817985b
13c437c90cc
146b59b41a7
153dce0c84b
hex25774c487

10057204871 has 32 divisors (see below), whose sum is σ = 12439680000. Its totient is φ = 8110095840.

The previous prime is 10057204837. The next prime is 10057204877. The reversal of 10057204871 is 17840275001.

10057204871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10057204871 - 222 = 10053010567 is a prime.

It is a super-2 number, since 2×100572048712 (a number of 21 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 (10057204877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470780 + ... + 491678.

It is an arithmetic number, because the mean of its divisors is an integer number (388740000).

Almost surely, 210057204871 is an apocalyptic number.

10057204871 is a deficient number, since it is larger than the sum of its proper divisors (2382475129).

10057204871 is an equidigital number, since it uses as much as digits as its factorization.

10057204871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21004 (or 20990 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

Adding to 10057204871 its reverse (17840275001), we get a palindrome (27897479872).

The spelling of 10057204871 in words is "ten billion, fifty-seven million, two hundred four thousand, eight hundred seventy-one".

Divisors: 1 7 23 49 61 161 343 427 1127 1403 2989 7889 9821 20899 20923 68747 146293 480677 481229 1024051 1274839 3364739 7168357 8923873 23553173 29321297 62467111 164872211 205249079 437269777 1436743553 10057204871