Search a number
-
+
11110101000101 = 1011136731446449
BaseRepresentation
bin1010000110101100010110…
…0111111001111110100101
31110100010010001002222202222
42201223011213321332211
52424011441324000401
635343524314042125
72224451442222605
oct241530547717645
943303101088688
1011110101000101
1135a3849413984
1212b5266419345
136278a7824a1c
142a5a35d2ac05
15143eec5a2c1b
hexa1ac59f9fa5

11110101000101 has 16 divisors (see below), whose sum is σ = 11336222084400. Its totient is φ = 10886546227200.

The previous prime is 11110101000091. The next prime is 11110101000107. The reversal of 11110101000101 is 10100010101111.

It can be written as a sum of positive squares in 8 ways, for example, as 17377830625 + 11092723169476 = 131825^2 + 3330574^2 .

It is a cyclic number.

It is not a de Polignac number, because 11110101000101 - 226 = 11110033891237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110101000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6957725 + ... + 8404173.

It is an arithmetic number, because the mean of its divisors is an integer number (708513880275).

Almost surely, 211110101000101 is an apocalyptic number.

It is an amenable number.

11110101000101 is a deficient number, since it is larger than the sum of its proper divisors (226121084299).

11110101000101 is a wasteful number, since it uses less digits than its factorization.

11110101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447336.

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

Adding to 11110101000101 its reverse (10100010101111), we get a palindrome (21210111101212).

The spelling of 11110101000101 in words is "eleven trillion, one hundred ten billion, one hundred one million, one hundred one", and thus it is an aban number.

Divisors: 1 101 113 673 11413 67973 76049 1446449 7680949 146091349 163448737 973460177 16508322437 98319477877 110001000001 11110101000101