Search a number
-
+
2112120430140 = 2235743731149979
BaseRepresentation
bin11110101111000100001…
…100000001111000111100
321110220202022012211122210
4132233010030001320330
5234101110312231030
64254143354540420
7305411212302420
oct36570414017074
97426668184583
102112120430140
11744821a134a6
122a1414a37710
13124231153266
147432751ab80
1539e1b325bb0
hex1ebc4301e3c

2112120430140 has 96 divisors (see below), whose sum is σ = 6760336826880. Its totient is φ = 482659566336.

The previous prime is 2112120430139. The next prime is 2112120430141. The reversal of 2112120430140 is 410340212112.

It is an interprime number because it is at equal distance from previous prime (2112120430139) and next prime (2112120430141).

It is a super-2 number, since 2×21121204301402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112120430141) 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, 1261671 + ... + 2411649.

It is an arithmetic number, because the mean of its divisors is an integer number (70420175280).

Almost surely, 22112120430140 is an apocalyptic number.

2112120430140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112120430140 is an abundant number, since it is smaller than the sum of its proper divisors (4648216396740).

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

2112120430140 is a wasteful number, since it uses less digits than its factorization.

2112120430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154371 (or 1154369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2112120430140 its reverse (410340212112), we get a palindrome (2522460642252).

The spelling of 2112120430140 in words is "two trillion, one hundred twelve billion, one hundred twenty million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4373 8746 13119 17492 21865 26238 30611 43730 52476 61222 65595 87460 91833 122444 131190 153055 183666 262380 306110 367332 459165 612220 918330 1149979 1836660 2299958 3449937 4599916 5749895 6899874 8049853 11499790 13799748 16099706 17249685 22999580 24149559 32199412 34499370 40249265 48299118 68998740 80498530 96598236 120747795 160997060 241495590 482991180 5028858167 10057716334 15086574501 20115432668 25144290835 30173149002 35202007169 50288581670 60346298004 70404014338 75432872505 100577163340 105606021507 140808028676 150865745010 176010035845 211212043014 301731490020 352020071690 422424086028 528030107535 704040143380 1056060215070 2112120430140