Search a number
-
+
1011000022221 = 3772766221263
BaseRepresentation
bin11101011011001000100…
…11000001010011001101
310120122120022220110012110
432231210103001103031
5113031012001202341
62052240315054233
7133020344253450
oct16554423012315
93518508813173
101011000022221
1135a843179452
12143b31a41379
137444c200327
1436d0b321497
151b47230c216
hexeb644c14cd

1011000022221 has 16 divisors (see below), whose sum is σ = 1542690566144. Its totient is φ = 576919634544.

The previous prime is 1011000022217. The next prime is 1011000022247. The reversal of 1011000022221 is 1222200001101.

It is not a de Polignac number, because 1011000022221 - 22 = 1011000022217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011000022197 and 1011000022206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33095365 + ... + 33125898.

It is an arithmetic number, because the mean of its divisors is an integer number (96418160384).

Almost surely, 21011000022221 is an apocalyptic number.

It is an amenable number.

1011000022221 is a deficient number, since it is larger than the sum of its proper divisors (531690543923).

1011000022221 is an equidigital number, since it uses as much as digits as its factorization.

1011000022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66222000.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011000022221 its reverse (1222200001101), we get a palindrome (2233200023322).

The spelling of 1011000022221 in words is "one trillion, eleven billion, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 727 2181 5089 15267 66221263 198663789 463548841 1390646523 48142858201 144428574603 337000007407 1011000022221