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11000100100001 = 131231293363047
BaseRepresentation
bin1010000000010010100100…
…0011110001011110100001
31102221121011220000021200212
42200010221003301132201
52420211201111200001
635221213133023505
72213505510053135
oct240045103613641
942847156007625
1011000100100001
113561130809591
121297a87324b95
1361a3c70a121c
142a059c9913c5
1514121037d7bb
hexa01290f17a1

11000100100001 has 8 divisors (see below), whose sum is σ = 11084148782784. Its totient is φ = 10916052606160.

The previous prime is 11000100099991. The next prime is 11000100100007. The reversal of 11000100100001 is 10000100100011.

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-11000100100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000100100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30117860 + ... + 30480906.

It is an arithmetic number, because the mean of its divisors is an integer number (1385518597848).

Almost surely, 211000100100001 is an apocalyptic number.

It is an amenable number.

11000100100001 is a deficient number, since it is larger than the sum of its proper divisors (84048682783).

11000100100001 is a wasteful number, since it uses less digits than its factorization.

11000100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594471.

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

Adding to 11000100100001 its reverse (10000100100011), we get a palindrome (21000200200012).

It can be divided in two parts, 11000 and 100100001, that added together give a palindrome (100111001).

The spelling of 11000100100001 in words is "eleven trillion, one hundred million, one hundred thousand, one".

Divisors: 1 131 231293 363047 30299383 47559157 83970229771 11000100100001