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101101100000101 = 7110905891305679
BaseRepresentation
bin10110111111001101101111…
…001001101110001101100101
3111020222011121111020002110221
4112333031233021232031211
5101222420023100000401
6555005112033044341
730203212335543205
oct2677155711561545
9436864544202427
10101101100000101
112a239810282563
12b40a0a19b66b1
134454a3caa1c46
141ad7468418405
15ba4d11b067a1
hex5bf36f26e365

101101100000101 has 8 divisors (see below), whose sum is σ = 102525231686400. Its totient is φ = 99676973106480.

The previous prime is 101101100000093. The next prime is 101101100000129. The reversal of 101101100000101 is 101000001101101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101101100000101 - 23 = 101101100000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76778980 + ... + 78084658.

It is an arithmetic number, because the mean of its divisors is an integer number (12815653960800).

Almost surely, 2101101100000101 is an apocalyptic number.

It is an amenable number.

101101100000101 is a deficient number, since it is larger than the sum of its proper divisors (1424131686299).

101101100000101 is a wasteful number, since it uses less digits than its factorization.

101101100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396339.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101100000101 its reverse (101000001101101), we get a palindrome (202101101101202).

The spelling of 101101100000101 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one", and thus it is an aban number.

Divisors: 1 71 1090589 1305679 77431819 92703209 1423959154931 101101100000101