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10101000581 = 72206142869
BaseRepresentation
bin10010110100001000…
…10000100110000101
3222001221210222212122
421122010100212011
5131141324004311
64350151255325
7505212042200
oct113204204605
928057728778
1010101000581
11431382a271
121b5a97a545
13c4c8c1529
146bb734937
153e1bae0db
hex25a110985

10101000581 has 6 divisors (see below), whose sum is σ = 11750143590. Its totient is φ = 8658000456.

The previous prime is 10101000563. The next prime is 10101000631. The reversal of 10101000581 is 18500010101.

It can be written as a sum of positive squares in only one way, i.e., 6664109956 + 3436890625 = 81634^2 + 58625^2 .

It is a de Polignac number, because none of the positive numbers 2k-10101000581 is a prime.

It is a super-3 number, since 3×101010005813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103071386 + ... + 103071483.

It is an arithmetic number, because the mean of its divisors is an integer number (1958357265).

Almost surely, 210101000581 is an apocalyptic number.

It is an amenable number.

10101000581 is a deficient number, since it is larger than the sum of its proper divisors (1649143009).

10101000581 is an equidigital number, since it uses as much as digits as its factorization.

10101000581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206142883 (or 206142876 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 10101000581 its reverse (18500010101), we get a palindrome (28601010682).

The spelling of 10101000581 in words is "ten billion, one hundred one million, five hundred eighty-one", and thus it is an aban number.

Divisors: 1 7 49 206142869 1443000083 10101000581