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11001111220 = 22511181431641
BaseRepresentation
bin10100011111011011…
…11010001010110100
31001101200112100112201
422033231322022310
5140012241024340
65015343554244
7536421621361
oct121755721264
931350470481
1011001111220
114735927760
1221702bb984
131064226388
147650bd468
15445c0d79a
hex28fb7a2b4

11001111220 has 96 divisors (see below), whose sum is σ = 25440210432. Its totient is φ = 3962880000.

The previous prime is 11001111217. The next prime is 11001111229. The reversal of 11001111220 is 2211110011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11001111197 and 11001111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111229) 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, 17162100 + ... + 17162740.

It is an arithmetic number, because the mean of its divisors is an integer number (265002192).

Almost surely, 211001111220 is an apocalyptic number.

11001111220 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 11001111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720105216).

11001111220 is an abundant number, since it is smaller than the sum of its proper divisors (14439099212).

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

11001111220 is a wasteful number, since it uses less digits than its factorization.

11001111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001111220 its reverse (2211110011), we get a palindrome (13212221231).

It can be divided in two parts, 11001 and 111220, that added together give a palindrome (122221).

The spelling of 11001111220 in words is "eleven billion, one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 431 641 724 862 905 1282 1724 1810 1991 2155 2564 3205 3620 3982 4310 4741 6410 7051 7964 8620 9482 9955 12820 14102 18964 19910 23705 28204 35255 39820 47410 70510 78011 94820 116021 141020 156022 232042 276271 312044 390055 464084 552542 580105 780110 858121 1105084 1160210 1276231 1381355 1560220 1716242 2320420 2552462 2762710 3038981 3432484 4290605 5104924 5525420 6077962 6381155 8581210 12155924 12762310 15194905 17162420 25524620 30389810 50005051 60779620 100010102 200020204 250025255 500050510 550055561 1000101020 1100111122 2200222244 2750277805 5500555610 11001111220