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1102211331220 = 2251789193188729
BaseRepresentation
bin10000000010100000111…
…010100011010010010100
310220101000000002000220001
4100002200322203102110
5121024312100044340
62202203210021044
7142426552506226
oct20024072432224
93811000060801
101102211331220
1139549961a95a
12159748417784
137cc26c7639c
143b4c1054416
151da0ebaa29a
hex100a0ea3494

1102211331220 has 96 divisors (see below), whose sum is σ = 2491190704800. Its totient is φ = 408159780864.

The previous prime is 1102211331127. The next prime is 1102211331229. The reversal of 1102211331220 is 221331122011.

It can be written as a sum of positive squares in 16 ways, for example, as 174896258436 + 927315072784 = 418206^2 + 962972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102211331229) 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, 5745816 + ... + 5934544.

It is an arithmetic number, because the mean of its divisors is an integer number (25949903175).

Almost surely, 21102211331220 is an apocalyptic number.

1102211331220 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 1102211331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245595352400).

1102211331220 is an abundant number, since it is smaller than the sum of its proper divisors (1388979373580).

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

1102211331220 is a wasteful number, since it uses less digits than its factorization.

1102211331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189037 (or 189035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1102211331220 its reverse (221331122011), we get a palindrome (1323542453231).

It can be divided in two parts, 110221 and 1331220, that added together give a palindrome (1441441).

The spelling of 1102211331220 in words is "one trillion, one hundred two billion, two hundred eleven million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 193 340 356 386 445 772 890 965 1513 1780 1930 3026 3281 3860 6052 6562 7565 13124 15130 16405 17177 30260 32810 34354 65620 68708 85885 171770 188729 292009 343540 377458 584018 754916 943645 1168036 1460045 1887290 2920090 3208393 3774580 5840180 6416786 12833572 16041965 16796881 32083930 33593762 36424697 64167860 67187524 72849394 83984405 145698788 167968810 182123485 285546977 335937620 364246970 571093954 619219849 728493940 1142187908 1238439698 1427734885 2476879396 2855469770 3096099245 3241798033 5710939540 6192198490 6483596066 12384396980 12967192132 16208990165 32417980330 55110566561 64835960660 110221133122 220442266244 275552832805 551105665610 1102211331220