Search a number
-
+
11222222010102 = 234474573225149
BaseRepresentation
bin1010001101001110000010…
…0011100111011011110110
31110201211111221120102220000
42203103200203213123312
52432331102313310402
635511230112252130
72235531060123645
oct243234043473366
943654457512800
1011222222010102
113637354842214
121312b37541046
1363533558781c
142ab230aa935c
15146db09b2c1c
hexa34e08e76f6

11222222010102 has 80 divisors (see below), whose sum is σ = 25737316228800. Its totient is φ = 3653138040192.

The previous prime is 11222222010089. The next prime is 11222222010113. The reversal of 11222222010102 is 20101022222211.

It is a happy number.

11222222010102 is a `hidden beast` number, since 112 + 222 + 220 + 10 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1867024 + ... + 5092172.

It is an arithmetic number, because the mean of its divisors is an integer number (321716452860).

Almost surely, 211222222010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222222010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868658114400).

11222222010102 is an abundant number, since it is smaller than the sum of its proper divisors (14515094218698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11222222010102 is a wasteful number, since it uses less digits than its factorization.

11222222010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225667 (or 3225658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222222010102 its reverse (20101022222211), we get a palindrome (31323244232313).

The spelling of 11222222010102 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 457 846 914 1269 1371 2538 2742 3807 4113 7614 8226 12339 21479 24678 37017 42958 64437 74034 128874 193311 386622 579933 1159866 1739799 3225149 3479598 6450298 9675447 19350894 29026341 58052682 87079023 151582003 174158046 261237069 303164006 454746009 522474138 909492018 1364238027 1473893093 2728476054 2947786186 4092714081 4421679279 8185428162 8843358558 12278142243 13265037837 24556284486 26530075674 39795113511 69272975371 79590227022 119385340533 138545950742 207818926113 238770681066 415637852226 623456778339 1246913556678 1870370335017 3740740670034 5611111005051 11222222010102