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11022104131220 = 22571313674430213
BaseRepresentation
bin1010000001100100100010…
…0110011111011010010100
31110000200222101110212222002
42200121020212133122110
52421041232124144340
635235252411454432
72215215005201510
oct240311046373224
943020871425862
1011022104131220
11356a4a2488956
1212a01a8457418
1361c4c2a05040
142a16890a1140
15141a9c006715
hexa064899f694

11022104131220 has 96 divisors (see below), whose sum is σ = 28508746065408. Its totient is φ = 3485761684992.

The previous prime is 11022104131217. The next prime is 11022104131309. The reversal of 11022104131220 is 2213140122011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11022104131192 and 11022104131201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 272834 + ... + 4703046.

It is an arithmetic number, because the mean of its divisors is an integer number (296966104848).

Almost surely, 211022104131220 is an apocalyptic number.

11022104131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022104131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254373032704).

11022104131220 is an abundant number, since it is smaller than the sum of its proper divisors (17486641934188).

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

11022104131220 is a wasteful number, since it uses less digits than its factorization.

11022104131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431609 (or 4431607 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11022104131220 its reverse (2213140122011), we get a palindrome (13235244253231).

The spelling of 11022104131220 in words is "eleven trillion, twenty-two billion, one hundred four million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1367 1820 2734 5468 6835 9569 13670 17771 19138 27340 35542 38276 47845 71084 88855 95690 124397 177710 191380 248794 355420 497588 621985 1243970 2487940 4430213 8860426 17720852 22151065 31011491 44302130 57592769 62022982 88604260 115185538 124045964 155057455 230371076 287963845 310114910 403149383 575927690 620229820 806298766 1151855380 1612597532 2015746915 4031493830 6056101171 8062987660 12112202342 24224404684 30280505855 42392708197 60561011710 78729315223 84785416394 121122023420 157458630446 169570832788 211963540985 314917260892 393646576115 423927081970 551105206561 787293152230 847854163940 1102210413122 1574586304460 2204420826244 2755526032805 5511052065610 11022104131220