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11012001022020 = 22353116073684151
BaseRepresentation
bin1010000000111110111001…
…1010001100000001000100
31102222201220021200202121110
42200033232122030001010
52420410034230201040
635230502103045020
72214406436164605
oct240175632140104
942881807622543
1011012001022020
113566188549429
12129a248a40770
1361b572855b0b
142a0dab37bdac
151416aa07c980
hexa03ee68c044

11012001022020 has 96 divisors (see below), whose sum is σ = 31848049852416. Its totient is φ = 2840037552000.

The previous prime is 11012001021997. The next prime is 11012001022027. The reversal of 11012001022020 is 2022010021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012001021987 and 11012001022005.

It is not an unprimeable number, because it can be changed into a prime (11012001022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146945 + ... + 4831095.

It is an arithmetic number, because the mean of its divisors is an integer number (331750519296).

Almost surely, 211012001022020 is an apocalyptic number.

11012001022020 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 11012001022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924024926208).

11012001022020 is an abundant number, since it is smaller than the sum of its proper divisors (20836048830396).

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

11012001022020 is a wasteful number, since it uses less digits than its factorization.

11012001022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685801 (or 3685799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012001022020 its reverse (2022010021011), we get a palindrome (13034011043031).

The spelling of 11012001022020 in words is "eleven trillion, twelve billion, one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1607 1860 3214 4821 6428 8035 9642 16070 19284 24105 32140 48210 49817 96420 99634 149451 199268 249085 298902 498170 597804 747255 996340 1494510 2989020 3684151 7368302 11052453 14736604 18420755 22104906 36841510 44209812 55262265 73683020 110524530 114208681 221049060 228417362 342626043 456834724 571043405 685252086 1142086810 1370504172 1713130215 2284173620 3426260430 5920430657 6852520860 11840861314 17761291971 23681722628 29602153285 35522583942 59204306570 71045167884 88806459855 118408613140 177612919710 183533350367 355225839420 367066700734 550600051101 734133401468 917666751835 1101200102202 1835333503670 2202400204404 2753000255505 3670667007340 5506000511010 11012001022020