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1006101473 = 13193400997
BaseRepresentation
bin111011111101111…
…110001111100001
32121010011020202112
4323331332033201
54030030221343
6243500125105
733634502306
oct7375761741
92533136675
101006101473
11476a10a23
12240b36795
13130595420
14978990ad
155d4d9218
hex3bf7e3e1

1006101473 has 8 divisors (see below), whose sum is σ = 1089110568. Its totient is φ = 923894784.

The previous prime is 1006101469. The next prime is 1006101511. The reversal of 1006101473 is 3741016001.

It can be written as a sum of positive squares in 4 ways, for example, as 31225744 + 974875729 = 5588^2 + 31223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006101473 - 22 = 1006101469 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006101073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197990 + ... + 203007.

It is an arithmetic number, because the mean of its divisors is an integer number (136138821).

Almost surely, 21006101473 is an apocalyptic number.

1006101473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1006101473 is a deficient number, since it is larger than the sum of its proper divisors (83009095).

1006101473 is a wasteful number, since it uses less digits than its factorization.

1006101473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401203.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1006101473 is about 31719.1026512416. The cubic root of 1006101473 is about 1002.0297018565.

Adding to 1006101473 its reverse (3741016001), we get a palindrome (4747117474).

The spelling of 1006101473 in words is "one billion, six million, one hundred one thousand, four hundred seventy-three".

Divisors: 1 13 193 2509 400997 5212961 77392421 1006101473