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1052167001 = 3159577997
BaseRepresentation
bin111110101101101…
…100101101011001
32201022211121210012
4332231230231121
54123323321001
6252223331305
735034162164
oct7655545531
92638747705
101052167001
1149aa14706
12254450b35
13139ca3a32
149da4aadb
15625882bb
hex3eb6cb59

1052167001 has 16 divisors (see below), whose sum is σ = 1107540480. Its totient is φ = 998231040.

The previous prime is 1052166991. The next prime is 1052167007. The reversal of 1052167001 is 1007612501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1052167001 is a prime.

It is a super-2 number, since 2×10521670012 = 2214110795986668002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052167007) 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 15 ways as a sum of consecutive naturals, for example, 1054835 + ... + 1055831.

It is an arithmetic number, because the mean of its divisors is an integer number (69221280).

Almost surely, 21052167001 is an apocalyptic number.

It is an amenable number.

1052167001 is a deficient number, since it is larger than the sum of its proper divisors (55373479).

1052167001 is an equidigital number, since it uses as much as digits as its factorization.

1052167001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1052167001 is about 32437.1238089939. The cubic root of 1052167001 is about 1017.0950928319.

Adding to 1052167001 its reverse (1007612501), we get a palindrome (2059779502).

The spelling of 1052167001 in words is "one billion, fifty-two million, one hundred sixty-seven thousand, one".

Divisors: 1 31 59 577 997 1829 17887 30907 34043 58823 575269 1055333 1823513 17833339 33940871 1052167001