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10000504133031 = 353435431444463
BaseRepresentation
bin1001000110000110110001…
…1111110001010110100111
31022102001001022211212100010
42101201230133301112213
52302322013024224111
633134100154221303
72051340546404016
oct221415437612647
938361038755303
1010000504133031
11320620a963695
1211561b8724833
135770747298a9
1426805407ca7d
15125209325aa6
hex9186c7f15a7

10000504133031 has 16 divisors (see below), whose sum is σ = 13585911929856. Its totient is φ = 6541055498016.

The previous prime is 10000504132981. The next prime is 10000504133141. The reversal of 10000504133031 is 13033140500001.

It is not a de Polignac number, because 10000504133031 - 218 = 10000503870887 is a prime.

It is a super-2 number, since 2×100005041330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000504132989 and 10000504133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000504143031) 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 15 ways as a sum of consecutive naturals, for example, 6201106 + ... + 7645568.

It is an arithmetic number, because the mean of its divisors is an integer number (849119495616).

Almost surely, 210000504133031 is an apocalyptic number.

10000504133031 is a deficient number, since it is larger than the sum of its proper divisors (3585407796825).

10000504133031 is a wasteful number, since it uses less digits than its factorization.

10000504133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488062.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10000504133031 its reverse (13033140500001), we get a palindrome (23033644633032).

The spelling of 10000504133031 in words is "ten trillion, five hundred four million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 53 159 43543 130629 1444463 2307779 4333389 6923337 76556539 229669617 62896252409 188688757227 3333501377677 10000504133031