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1000060013 = 37157172157
BaseRepresentation
bin111011100110111…
…011010001101101
32120200210022102202
4323212323101231
54022003410023
6243122431245
733532240601
oct7346732155
92520708382
101000060013
11473564987
1223ab02525
1312c25b5b4
1496b65501
155cbe4128
hex3b9bb46d

1000060013 has 8 divisors (see below), whose sum is σ = 1033636632. Its totient is φ = 966828096.

The previous prime is 1000060001. The next prime is 1000060043. The reversal of 1000060013 is 3100600001.

It can be written as a sum of positive squares in 4 ways, for example, as 99940009 + 900120004 = 9997^2 + 30002^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000060013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000059976 and 1000060003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000060043) 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 7 ways as a sum of consecutive naturals, for example, 80270 + ... + 91887.

It is an arithmetic number, because the mean of its divisors is an integer number (129204579).

Almost surely, 21000060013 is an apocalyptic number.

It is an amenable number.

1000060013 is a deficient number, since it is larger than the sum of its proper divisors (33576619).

1000060013 is a wasteful number, since it uses less digits than its factorization.

1000060013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172351.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1000060013 is about 31623.7254762939. The cubic root of 1000060013 is about 1000.0200039332.

Adding to 1000060013 its reverse (3100600001), we get a palindrome (4100660014).

The spelling of 1000060013 in words is "one billion, sixty thousand, thirteen".

Divisors: 1 37 157 5809 172157 6369809 27028649 1000060013