Search a number
-
+
11220021012330 = 2345131065529061
BaseRepresentation
bin1010001101000101110101…
…0111011110011101101010
31110201121211120000011120000
42203101131113132131222
52432312100334343310
635510223445243430
72235422403010554
oct243213527363552
943647746004500
1011220021012330
1136364253a0a99
121312622403576
13635074596c90
142ab0a264c4d4
15146cd264a4c0
hexa345d5de76a

11220021012330 has 80 divisors (see below), whose sum is σ = 32490112158504. Its totient is φ = 2761851323520.

The previous prime is 11220021012311. The next prime is 11220021012337. The reversal of 11220021012330 is 3321012002211.

11220021012330 is a `hidden beast` number, since 1 + 1 + 220 + 0 + 210 + 1 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6031233604449 + 5188787407881 = 2455857^2 + 2277891^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11220021012337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 532754001 + ... + 532775060.

Almost surely, 211220021012330 is an apocalyptic number.

11220021012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11220021012330 is an abundant number, since it is smaller than the sum of its proper divisors (21270091146174).

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

11220021012330 is a wasteful number, since it uses less digits than its factorization.

11220021012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065529093 (or 1065529084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11220021012330 its reverse (3321012002211), we get a palindrome (14541033014541).

The spelling of 11220021012330 in words is "eleven trillion, two hundred twenty billion, twenty-one million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 1065529061 2131058122 3196587183 5327645305 6393174366 9589761549 10655290610 13851877793 15982935915 19179523098 27703755586 28769284647 31965871830 41555633379 47948807745 57538569294 69259388965 83111266758 86307853941 95897615490 124666900137 138518777930 143846423235 172615707882 207778166895 249333800274 287692846470 374000700411 415556333790 431539269705 623334500685 748001400822 863078539410 1122002101233 1246669001370 1870003502055 2244004202466 3740007004110 5610010506165 11220021012330