Search a number
-
+
11021121131220 = 2232588169498809
BaseRepresentation
bin1010000001100000111000…
…0000101001001011010100
31110000121102212210022110200
42200120032000221023110
52421032224002144340
635235011054420500
72215151440633344
oct240301600511324
943017385708420
1011021121131220
11356a038616462
12129bb73201730
1361c39716a935
142a15d46dad24
15141a40a82330
hexa060e0292d4

11021121131220 has 72 divisors (see below), whose sum is σ = 33468680929320. Its totient is φ = 2935629649920.

The previous prime is 11021121131203. The next prime is 11021121131231. The reversal of 11021121131220 is 2213112112011.

It is a happy number.

11021121131220 is a `hidden beast` number, since 110 + 2 + 11 + 211 + 312 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 881112632976 + 10140008498244 = 938676^2 + 3184338^2 .

It is a super-2 number, since 2×110211211312202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11021121131193 and 11021121131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34590825 + ... + 34907984.

It is an arithmetic number, because the mean of its divisors is an integer number (464842790685).

Almost surely, 211021121131220 is an apocalyptic number.

11021121131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021121131220 is an abundant number, since it is smaller than the sum of its proper divisors (22447559798100).

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

11021121131220 is a wasteful number, since it uses less digits than its factorization.

11021121131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69499705 (or 69499700 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11021121131220 its reverse (2213112112011), we get a palindrome (13234233243231).

The spelling of 11021121131220 in words is "eleven trillion, twenty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 881 1762 2643 3524 4405 5286 7929 8810 10572 13215 15858 17620 26430 31716 39645 52860 79290 158580 69498809 138997618 208496427 277995236 347494045 416992854 625489281 694988090 833985708 1042482135 1250978562 1389976180 2084964270 2501957124 3127446405 4169928540 6254892810 12509785620 61228450729 122456901458 183685352187 244913802916 306142253645 367370704374 551056056561 612284507290 734741408748 918426760935 1102112113122 1224569014580 1836853521870 2204224226244 2755280282805 3673707043740 5510560565610 11021121131220