Search a number
-
+
2421230312100 = 2235259563242971
BaseRepresentation
bin100011001110111100100…
…100101001101010100100
322120110121200222211010110
4203032330210221222210
5304132134424441400
65052144200253020
7336633226036515
oct43167444515244
98513550884113
102421230312100
11853924431966
12331301171170
13147423425862
148528c4b8a0c
1542ead668e50
hex233bc929aa4

2421230312100 has 144 divisors (see below), whose sum is σ = 7136845712640. Its totient is φ = 633588009600.

The previous prime is 2421230312021. The next prime is 2421230312117. The reversal of 2421230312100 is 12130321242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9843615 + ... + 10086585.

It is an arithmetic number, because the mean of its divisors is an integer number (49561428560).

Almost surely, 22421230312100 is an apocalyptic number.

2421230312100 is a gapful number since it is divisible by the number (20) 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 2421230312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568422856320).

2421230312100 is an abundant number, since it is smaller than the sum of its proper divisors (4715615400540).

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

2421230312100 is a wasteful number, since it uses less digits than its factorization.

2421230312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243610 (or 243603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2421230312100 its reverse (12130321242), we get a palindrome (2433360633342).

The spelling of 2421230312100 in words is "two trillion, four hundred twenty-one billion, two hundred thirty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 563 590 708 885 1126 1180 1475 1689 1770 2252 2815 2950 3378 3540 4425 5630 5900 6756 8445 8850 11260 14075 16890 17700 28150 33217 33780 42225 56300 66434 84450 99651 132868 166085 168900 199302 242971 332170 398604 485942 498255 664340 728913 830425 971884 996510 1214855 1457826 1660850 1993020 2429710 2491275 2915652 3321700 3644565 4859420 4982550 6074275 7289130 9965100 12148550 14335289 14578260 18222825 24297100 28670578 36445650 43005867 57341156 71676445 72891300 86011734 136792673 143352890 172023468 215029335 273585346 286705780 358382225 410378019 430058670 547170692 683963365 716764450 820756038 860117340 1075146675 1367926730 1433528900 1641512076 2051890095 2150293350 2735853460 3419816825 4103780190 4300586700 6839633650 8070767707 8207560380 10259450475 13679267300 16141535414 20518900950 24212303121 32283070828 40353838535 41037801900 48424606242 80707677070 96849212484 121061515605 161415354140 201769192675 242123031210 403538385350 484246062420 605307578025 807076770700 1210615156050 2421230312100