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1010101110101 = 11345719560061
BaseRepresentation
bin11101011001011101011…
…01111100010101010101
310120120020200102222120222
432230232231330111111
5113022141341010401
62052011204204125
7132656150525426
oct16545655742525
93516220388528
101010101110101
1135a42181a476
12143920999645
1374337bc7b75
1436c63ba964d
151b41d447c1b
hexeb2eb7c555

1010101110101 has 8 divisors (see below), whose sum is σ = 1021269957144. Its totient is φ = 998971384320.

The previous prime is 1010101110097. The next prime is 1010101110121. The reversal of 1010101110101 is 1010111010101.

It can be written as a sum of positive squares in 4 ways, for example, as 277596211876 + 732504898225 = 526874^2 + 855865^2 .

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 1010101110101 - 22 = 1010101110097 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 (1010101110121) 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, 9728390 + ... + 9831671.

It is an arithmetic number, because the mean of its divisors is an integer number (127658744643).

Almost surely, 21010101110101 is an apocalyptic number.

It is an amenable number.

1010101110101 is a deficient number, since it is larger than the sum of its proper divisors (11168847043).

1010101110101 is a wasteful number, since it uses less digits than its factorization.

1010101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19560631.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1010101110101 its reverse (1010111010101), we get a palindrome (2020212120202).

The spelling of 1010101110101 in words is "one trillion, ten billion, one hundred one million, one hundred ten thousand, one hundred one".

Divisors: 1 113 457 51641 19560061 2210286893 8938947877 1010101110101