Search a number
-
+
1011022201101 = 31122785185127
BaseRepresentation
bin11101011011001011001…
…11101000000100001101
310120122121212122020220110
432231211213220010031
5113031033140413401
62052242430310233
7133021033626063
oct16554547500415
93518555566813
101011022201101
1135a854747800
12143b39358379
1374453997423
1436d10256033
151b47423d9d6
hexeb659e810d

1011022201101 has 12 divisors (see below), whose sum is σ = 1481718488096. Its totient is φ = 612740727720.

The previous prime is 1011022201093. The next prime is 1011022201117.

1011022201101 is nontrivially palindromic in base 10.

1011022201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011022201101 - 23 = 1011022201093 is a prime.

It is a super-2 number, since 2×10110222011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011022201141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392592201 + ... + 1392592926.

Almost surely, 21011022201101 is an apocalyptic number.

1011022201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011022201101 is a deficient number, since it is larger than the sum of its proper divisors (470696286995).

1011022201101 is a wasteful number, since it uses less digits than its factorization.

1011022201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785185152 (or 2785185141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 1011022201101 in words is "one trillion, eleven billion, twenty-two million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 33 121 363 2785185127 8355555381 30637036397 91911109191 337007400367 1011022201101