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11004424102020 = 22351314051345607
BaseRepresentation
bin1010000000100010101011…
…0010100010000010000100
31102222000100020101100100210
42200020222302202002010
52420244030032231040
635223210155235420
72214020613344046
oct240105262420204
942860306340323
1011004424102020
113562a4a580278
121298893448b70
1361a935b755bb
142a088cd65a96
151413b4ca4480
hexa022aca2084

11004424102020 has 96 divisors (see below), whose sum is σ = 31055350588416. Its totient is φ = 2911384944000.

The previous prime is 11004424102019. The next prime is 11004424102079. The reversal of 11004424102020 is 2020142440011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31668057 + ... + 32013663.

It is an arithmetic number, because the mean of its divisors is an integer number (323493235296).

Almost surely, 211004424102020 is an apocalyptic number.

11004424102020 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 11004424102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527675294208).

11004424102020 is an abundant number, since it is smaller than the sum of its proper divisors (20050926486396).

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

11004424102020 is a wasteful number, since it uses less digits than its factorization.

11004424102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349801 (or 349799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11004424102020 its reverse (2020142440011), we get a palindrome (13024566542031).

The spelling of 11004424102020 in words is "eleven trillion, four billion, four hundred twenty-four million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 4051 7860 8102 12153 16204 20255 24306 40510 48612 60765 81020 121530 243060 345607 530681 691214 1036821 1061362 1382428 1592043 1728035 2073642 2122724 2653405 3184086 3456070 4147284 5184105 5306810 6368172 6912140 7960215 10368210 10613620 15920430 20736420 31840860 45274517 90549034 135823551 181098068 226372585 271647102 452745170 543294204 679117755 905490340 1358235510 1400053957 2716471020 2800107914 4200161871 5600215828 7000269785 8400323742 14000539570 16800647484 21000809355 28001079140 42001618710 84003237420 183407068367 366814136734 550221205101 733628273468 917035341835 1100442410202 1834070683670 2200884820404 2751106025505 3668141367340 5502212051010 11004424102020