Search a number
-
+
3122100205400 = 2352119831443679
BaseRepresentation
bin101101011011101011101…
…011000111011101011000
3102001110200112100101010202
4231123223223013131120
5402123030123033100
610350134550401332
7441364360610231
oct55335353073530
912043615311122
103122100205400
11aa409119a240
12425101060248
13198549b77757
14ab179140088
155632dca27d5
hex2d6ebac7758

3122100205400 has 96 divisors (see below), whose sum is σ = 7926842649600. Its totient is φ = 1134153436800.

The previous prime is 3122100205397. The next prime is 3122100205429. The reversal of 3122100205400 is 45020012213.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1440761 + ... + 2884439.

It is an arithmetic number, because the mean of its divisors is an integer number (82571277600).

Almost surely, 23122100205400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122100205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963421324800).

3122100205400 is an abundant number, since it is smaller than the sum of its proper divisors (4804742444200).

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

3122100205400 is a wasteful number, since it uses less digits than its factorization.

3122100205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444689 (or 1444680 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 3122100205400 its reverse (45020012213), we get a palindrome (3167120217613).

The spelling of 3122100205400 in words is "three trillion, one hundred twenty-two billion, one hundred million, two hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 983 1100 1966 2200 3932 4915 7864 9830 10813 19660 21626 24575 39320 43252 49150 54065 86504 98300 108130 196600 216260 270325 432520 540650 1081300 1443679 2162600 2887358 5774716 7218395 11549432 14436790 15880469 28873580 31760938 36091975 57747160 63521876 72183950 79402345 127043752 144367900 158804690 288735800 317609380 397011725 635218760 794023450 1419136457 1588046900 2838272914 3176093800 5676545828 7095682285 11353091656 14191364570 15610501027 28382729140 31221002054 35478411425 56765458280 62442004108 70956822850 78052505135 124884008216 141913645700 156105010270 283827291400 312210020540 390262525675 624420041080 780525051350 1561050102700 3122100205400