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10002054231 = 391339089
BaseRepresentation
bin10010101000010101…
…10011110001010111
3221211001122000000000
421110022303301113
5130441011213411
64332254422343
7502601025651
oct112412636127
927731560000
1010002054231
114272998424
121b318019b3
13c352594b0
146ac5396d1
153d8166956
hex2542b3c57

10002054231 has 40 divisors (see below), whose sum is σ = 16157304240. Its totient is φ = 6154952832.

The previous prime is 10002054187. The next prime is 10002054239. The reversal of 10002054231 is 13245020001.

10002054231 is a `hidden beast` number, since 100 + 0 + 20 + 542 + 3 + 1 = 666.

10002054231 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 10002054231 - 27 = 10002054103 is a prime.

It is a super-2 number, since 2×100020542312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002054239) 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 39 ways as a sum of consecutive naturals, for example, 236335 + ... + 275423.

It is an arithmetic number, because the mean of its divisors is an integer number (403932606).

Almost surely, 210002054231 is an apocalyptic number.

10002054231 is a deficient number, since it is larger than the sum of its proper divisors (6155250009).

10002054231 is an frugal number, since it uses more digits than its factorization.

10002054231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39129 (or 39105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10002054231 its reverse (13245020001), we get a palindrome (23247074232).

The spelling of 10002054231 in words is "ten billion, two million, fifty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 3159 6561 9477 19683 28431 39089 85293 117267 255879 351801 508157 1055403 1524471 3166209 4573413 9498627 13720239 28495881 41160717 85487643 123482151 256462929 370446453 769388787 1111339359 3334018077 10002054231