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11001000220 = 22571712293761
BaseRepresentation
bin10100011111011010…
…11111000100011100
31001101200022201021121
422033231133010130
5140012224001340
65015341340324
7536420646640
oct121755370434
931350281247
1011001000220
114735861321
1221702676a4
1310641b79b2
14765090c20
15445bda94a
hex28fb5f11c

11001000220 has 96 divisors (see below), whose sum is σ = 27985668480. Its totient is φ = 3546071040.

The previous prime is 11001000217. The next prime is 11001000221. The reversal of 11001000220 is 2200010011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001000221) by changing a digit.

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, 2923140 + ... + 2926900.

It is an arithmetic number, because the mean of its divisors is an integer number (291517380).

Almost surely, 211001000220 is an apocalyptic number.

11001000220 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 11001000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992834240).

11001000220 is an abundant number, since it is smaller than the sum of its proper divisors (16984668260).

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

11001000220 is a wasteful number, since it uses less digits than its factorization.

11001000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11001000220 its reverse (2200010011), we get a palindrome (13201010231).

The spelling of 11001000220 in words is "eleven billion, one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1229 2380 2458 3761 4916 6145 7522 8603 12290 15044 17206 18805 20893 24580 26327 34412 37610 41786 43015 52654 63937 75220 83572 86030 104465 105308 127874 131635 146251 172060 208930 255748 263270 292502 319685 417860 447559 526540 585004 639370 731255 895118 1278740 1462510 1790236 2237795 2925020 4475590 4622269 8951180 9244538 18489076 23111345 32355883 46222690 64711766 78578573 92445380 129423532 157157146 161779415 314314292 323558830 392892865 550050011 647117660 785785730 1100100022 1571571460 2200200044 2750250055 5500500110 11001000220