Search a number
-
+
1011020201101 = 101109604715187
BaseRepresentation
bin11101011011001010111…
…11111111110010001101
310120122121201212122102101
432231211133333302031
5113031032132413401
62052242315355101
7133021010626141
oct16554537776215
93518551778371
101011020201101
1135a853601109
12143b38752a91
1374453446cb1
1436d0dc95221
151b473e96101
hexeb657ffc8d

1011020201101 has 16 divisors (see below), whose sum is σ = 1030635809280. Its totient is φ = 991597204800.

The previous prime is 1011020201099. The next prime is 1011020201111.

1011020201101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1011020201101 - 21 = 1011020201099 is a prime.

It is a super-2 number, since 2×10110202011012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020201111) 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, 66563830 + ... + 66579016.

It is an arithmetic number, because the mean of its divisors is an integer number (64414738080).

Almost surely, 21011020201101 is an apocalyptic number.

It is an amenable number.

1011020201101 is a deficient number, since it is larger than the sum of its proper divisors (19615608179).

1011020201101 is a wasteful number, since it uses less digits than its factorization.

1011020201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1011020 and 201101, that added together give a palindrome (1212121).

The spelling of 1011020201101 in words is "one trillion, eleven billion, twenty million, two hundred one thousand, one hundred one".

Divisors: 1 101 109 6047 11009 15187 610747 659123 1533887 1655383 66571423 91835789 167193683 9275414689 10010101001 1011020201101