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1100220120 = 233253598513
BaseRepresentation
bin100000110010100…
…0000011011011000
32211200020222021100
41001211000123120
54223124020440
6301101311400
736156500556
oct10145003330
92750228240
101100220120
1151505572a
12268565560
13146c29c2c
14a6198bd6
15668cb230
hex419406d8

1100220120 has 96 divisors (see below), whose sum is σ = 3586096800. Its totient is φ = 292540416.

The previous prime is 1100220119. The next prime is 1100220131. The reversal of 1100220120 is 210220011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124984 + ... + 133496.

It is an arithmetic number, because the mean of its divisors is an integer number (37355175).

Almost surely, 21100220120 is an apocalyptic number.

1100220120 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 1100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793048400).

1100220120 is an abundant number, since it is smaller than the sum of its proper divisors (2485876680).

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

1100220120 is a wasteful number, since it uses less digits than its factorization.

1100220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100220120 is about 33169.5661714168. The cubic root of 1100220120 is about 1032.3489670758.

Adding to 1100220120 its reverse (210220011), we get a palindrome (1310440131).

It can be divided in two parts, 1 and 100220120, that added together give a square (100220121 = 100112).

The spelling of 1100220120 in words is "one billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 359 360 718 1077 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8513 8616 10770 12924 14360 16155 17026 21540 25539 25848 32310 34052 42565 43080 51078 64620 68104 76617 85130 102156 127695 129240 153234 170260 204312 255390 306468 340520 383085 510780 612936 766170 1021560 1532340 3056167 3064680 6112334 9168501 12224668 15280835 18337002 24449336 27505503 30561670 36674004 45842505 55011006 61123340 73348008 91685010 110022012 122246680 137527515 183370020 220044024 275055030 366740040 550110060 1100220120