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10001001100001 = 17990159417653
BaseRepresentation
bin1001000110001000101000…
…0111100011001011100001
31022102002022221222101212012
42101202022013203023201
52302324022240200001
633134221350042305
72051356062506222
oct221421207431341
938362287871765
1010001001100001
11320644543929a
121156317049395
1357712368c2a2
142680a0085249
15125237c902bb
hex9188a1e32e1

10001001100001 has 8 divisors (see below), whose sum is σ = 10590364978344. Its totient is φ = 9411756076800.

The previous prime is 10001001099959. The next prime is 10001001100021. The reversal of 10001001100001 is 10000110010001.

It can be written as a sum of positive squares in 4 ways, for example, as 3603258150625 + 6397742949376 = 1898225^2 + 2529376^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-10001001100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001001100021) 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, 29540510 + ... + 29877143.

It is an arithmetic number, because the mean of its divisors is an integer number (1323795622293).

Almost surely, 210001001100001 is an apocalyptic number.

It is an amenable number.

10001001100001 is a deficient number, since it is larger than the sum of its proper divisors (589363878343).

10001001100001 is an equidigital number, since it uses as much as digits as its factorization.

10001001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59427571.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001001100001 its reverse (10000110010001), we get a palindrome (20001111110002).

The spelling of 10001001100001 in words is "ten trillion, one billion, one million, one hundred thousand, one".

Divisors: 1 17 9901 168317 59417653 1010100101 588294182353 10001001100001