Search a number
-
+
11130111100212 = 22313711571639647
BaseRepresentation
bin1010000111110110111001…
…0100011000010100110100
31110102000202120122101202220
42201331232110120110310
52424323431420201322
635401034044002340
72226060346244106
oct241755624302464
943360676571686
1011130111100212
1136012876112a5
1212b910b8303b0
13629746327950
142a69b36c1576
151447be16655c
hexa1f6e518534

11130111100212 has 96 divisors (see below), whose sum is σ = 28379984338944. Its totient is φ = 3374260579200.

The previous prime is 11130111100139. The next prime is 11130111100253. The reversal of 11130111100212 is 21200111103111.

It is a junction number, because it is equal to n+sod(n) for n = 11130111100191 and 11130111100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17080573 + ... + 17720219.

It is an arithmetic number, because the mean of its divisors is an integer number (295624836864).

Almost surely, 211130111100212 is an apocalyptic number.

11130111100212 is a gapful number since it is divisible by the number (12) 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 11130111100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189992169472).

11130111100212 is an abundant number, since it is smaller than the sum of its proper divisors (17249873238732).

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

11130111100212 is a wasteful number, since it uses less digits than its factorization.

11130111100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641309 (or 641307 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11130111100212 its reverse (21200111103111), we get a palindrome (32330222203323).

The spelling of 11130111100212 in words is "eleven trillion, one hundred thirty billion, one hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1571 1846 2769 3142 3692 4713 5538 6284 9426 11076 18852 20423 40846 61269 81692 111541 122538 223082 245076 334623 446164 639647 669246 1279294 1338492 1450033 1918941 2558588 2900066 3837882 4350099 5800132 7675764 8315411 8700198 16630822 17400396 24946233 33261644 45414937 49892466 90829874 99784932 136244811 181659748 272489622 544979244 590394181 1004885437 1180788362 1771182543 2009770874 2361576724 3014656311 3542365086 4019541748 6029312622 7084730172 12058625244 13063510681 26127021362 39190532043 52254042724 71346866027 78381064086 142693732054 156762128172 214040598081 285387464108 428081196162 856162392324 927509258351 1855018516702 2782527775053 3710037033404 5565055550106 11130111100212