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11144320220 = 22511221312161
BaseRepresentation
bin10100110000100000…
…01101010011011100
31001202200000010100202
422120100031103130
5140310421221340
65041501243032
7543111105335
oct123020152334
931680003322
1011144320220
1147a9750800
1221b0263478
131087ab8227
1477a11b28c
1545359ac15
hex29840d4dc

11144320220 has 72 divisors (see below), whose sum is σ = 25748019024. Its totient is φ = 4048704000.

The previous prime is 11144320217. The next prime is 11144320223. The reversal of 11144320220 is 2202344111.

It is an interprime number because it is at equal distance from previous prime (11144320217) and next prime (11144320223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11144320192 and 11144320201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144320223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155940 + ... + 5158100.

Almost surely, 211144320220 is an apocalyptic number.

11144320220 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 11144320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874009512).

11144320220 is an abundant number, since it is smaller than the sum of its proper divisors (14603698804).

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

11144320220 is a wasteful number, since it uses less digits than its factorization.

11144320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11144320220 its reverse (2202344111), we get a palindrome (13346664331).

The spelling of 11144320220 in words is "eleven billion, one hundred forty-four million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2131 2161 2420 4262 4322 8524 8644 10655 10805 21310 21610 23441 23771 42620 43220 46882 47542 93764 95084 117205 118855 234410 237710 257851 261481 468820 475420 515702 522962 1031404 1045924 1289255 1307405 2578510 2614810 4605091 5157020 5229620 9210182 18420364 23025455 46050910 50656001 92101820 101312002 202624004 253280005 506560010 557216011 1013120020 1114432022 2228864044 2786080055 5572160110 11144320220