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1102120011220 = 225192188980809
BaseRepresentation
bin10000000010011011011…
…110001100010111010100
310220100202122020111101211
4100002123132030113110
5121024120210324340
62202150144431204
7142424363345164
oct20023336142724
93810678214354
101102120011220
11395452017888
12159721918504
137cc11081697
143b4b2c825a4
151da06b6c5ea
hex1009b78c5d4

1102120011220 has 72 divisors (see below), whose sum is σ = 2443999861800. Its totient is φ = 417419218944.

The previous prime is 1102120011199. The next prime is 1102120011263. The reversal of 1102120011220 is 221100212011.

It can be written as a sum of positive squares in 4 ways, for example, as 207832044996 + 894287966224 = 455886^2 + 945668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1102120011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13598176 + ... + 13678984.

It is an arithmetic number, because the mean of its divisors is an integer number (33944442525).

Almost surely, 21102120011220 is an apocalyptic number.

1102120011220 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 1102120011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221999930900).

1102120011220 is an abundant number, since it is smaller than the sum of its proper divisors (1341879850580).

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

1102120011220 is a wasteful number, since it uses less digits than its factorization.

1102120011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82745 (or 82724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1102120011220 its reverse (221100212011), we get a palindrome (1323220223231).

The spelling of 1102120011220 in words is "one trillion, one hundred two billion, one hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 1889 3610 3778 7220 7556 9445 18890 35891 37780 71782 80809 143564 161618 179455 323236 358910 404045 681929 717820 808090 1363858 1535371 1616180 2727716 3070742 3409645 6141484 6819290 7676855 13638580 15353710 29172049 30707420 58344098 116688196 145860245 152648201 291720490 305296402 583440980 610592804 763241005 1526482010 2900315819 3052964020 5800631638 11601263276 14501579095 29003158190 55106000561 58006316380 110212001122 220424002244 275530002805 551060005610 1102120011220