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11001221122020 = 22351513833170399
BaseRepresentation
bin1010000000010110101111…
…1000001000011111100100
31102221201002000102002210220
42200011223320020133210
52420221000101401040
635221520300244340
72213545341432663
oct240055370103744
942851060362726
1011001221122020
113561656581a68
12129813a8406b0
1361a54540256c
142a0667802dda
151412789b82d0
hexa016be087e4

11001221122020 has 96 divisors (see below), whose sum is σ = 31088384409600. Its totient is φ = 2906620886400.

The previous prime is 11001221121967. The next prime is 11001221122033. The reversal of 11001221122020 is 2022112210011.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1884781 + ... + 5055179.

It is an arithmetic number, because the mean of its divisors is an integer number (323837337600).

Almost surely, 211001221122020 is an apocalyptic number.

11001221122020 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 11001221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544192204800).

11001221122020 is an abundant number, since it is smaller than the sum of its proper divisors (20087163287580).

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

11001221122020 is a wasteful number, since it uses less digits than its factorization.

11001221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170945 (or 3170943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11001221122020 its reverse (2022112210011), we get a palindrome (13023333332031).

The spelling of 11001221122020 in words is "eleven trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 383 453 604 755 766 906 1149 1510 1532 1812 1915 2265 2298 3020 3830 4530 4596 5745 7660 9060 11490 22980 57833 115666 173499 231332 289165 346998 578330 693996 867495 1156660 1734990 3170399 3469980 6340798 9511197 12681596 15851995 19022394 31703990 38044788 47555985 63407980 95111970 190223940 478730249 957460498 1214262817 1436190747 1914920996 2393651245 2428525634 2872381494 3642788451 4787302490 4857051268 5744762988 6071314085 7180953735 7285576902 9574604980 12142628170 14361907470 14571153804 18213942255 24285256340 28723814940 36427884510 72855769020 183353685367 366707370734 550061056101 733414741468 916768426835 1100122112202 1833536853670 2200244224404 2750305280505 3667073707340 5500610561010 11001221122020