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10520303573 = 132376127581
BaseRepresentation
bin10011100110000111…
…10001011111010101
31000011011210210110002
421303003301133111
5133021144203243
64455530341045
7521463050663
oct116303613725
930134723402
1010520303573
11450948986a
12205728a785
13cb8730c00
1471b2c1c33
154188d6eb8
hex2730f17d5

10520303573 has 24 divisors (see below), whose sum is σ = 11891924136. Its totient is φ = 9293356800.

The previous prime is 10520303509. The next prime is 10520303587. The reversal of 10520303573 is 37530302501.

It can be written as a sum of positive squares in 12 ways, for example, as 2375782564 + 8144521009 = 48742^2 + 90247^2 .

It is not a de Polignac number, because 10520303573 - 26 = 10520303509 is a prime.

It is a super-2 number, since 2×105203035732 (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 (10520303593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367643 + ... + 395223.

It is an arithmetic number, because the mean of its divisors is an integer number (495496839).

Almost surely, 210520303573 is an apocalyptic number.

10520303573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10520303573 is a deficient number, since it is larger than the sum of its proper divisors (1371620563).

10520303573 is a wasteful number, since it uses less digits than its factorization.

10520303573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27705 (or 27692 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The spelling of 10520303573 in words is "ten billion, five hundred twenty million, three hundred three thousand, five hundred seventy-three".

Divisors: 1 13 37 61 169 481 793 2257 6253 10309 27581 29341 358553 381433 1020497 1682441 4661189 13266461 21871733 62250317 172463993 284332529 809254121 10520303573