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1101143410220 = 225779826312049
BaseRepresentation
bin10000000001100001010…
…000110000011000101100
310220021020120121000200102
4100001201100300120230
5121020120203111340
62201505220450232
7142361234361020
oct20014120603054
93807216530612
101101143410220
11394aa0826017
121594aa849978
137cab6947a79
143b41d2a6380
151d99b05e215
hex1006143062c

1101143410220 has 96 divisors (see below), whose sum is σ = 2676742656000. Its totient is φ = 372679916544.

The previous prime is 1101143410207. The next prime is 1101143410223. The reversal of 1101143410220 is 220143411011.

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 = 1101143410192 and 1101143410201.

It is not an unprimeable number, because it can be changed into a prime (1101143410223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91382756 + ... + 91394804.

It is an arithmetic number, because the mean of its divisors is an integer number (27882736000).

Almost surely, 21101143410220 is an apocalyptic number.

1101143410220 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 1101143410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338371328000).

1101143410220 is an abundant number, since it is smaller than the sum of its proper divisors (1575599245780).

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

1101143410220 is a wasteful number, since it uses less digits than its factorization.

1101143410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1101143410220 its reverse (220143411011), we get a palindrome (1321286821231).

The spelling of 1101143410220 in words is "one trillion, one hundred one billion, one hundred forty-three million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 8263 11060 12049 16526 24098 33052 41315 48196 57841 60245 82630 84343 115682 120490 165260 168686 231364 240980 289205 337372 421715 578410 652777 843430 951871 1156820 1305554 1686860 1903742 2611108 3263885 3807484 4569439 4759355 6527770 6663097 9138878 9518710 13055540 13326194 18277756 19037420 22847195 26652388 33315485 45694390 66630970 91388780 99560887 133261940 199121774 398243548 497804435 696926209 995608870 1393852418 1991217740 2787704836 3484631045 6969262090 7865310073 13938524180 15730620146 31461240292 39326550365 55057170511 78653100730 110114341022 157306201460 220228682044 275285852555 550571705110 1101143410220