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2430106103320 = 23578819851249
BaseRepresentation
bin100011010111001101100…
…111000110111000011000
322121022112021100201201121
4203113031213012320120
5304303324130301240
65100213023255024
7340366203030040
oct43271547067030
98538467321647
102430106103320
118576695a7205
12332b7974a474
1314820923731c
14858911da720
154332c9ad04a
hex235cd9c6e18

2430106103320 has 64 divisors (see below), whose sum is σ = 6255937800000. Its totient is φ = 832233431040.

The previous prime is 2430106103311. The next prime is 2430106103333. The reversal of 2430106103320 is 233016010342.

2430106103320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24301061033202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678945 + ... + 5172304.

It is an arithmetic number, because the mean of its divisors is an integer number (97749028125).

Almost surely, 22430106103320 is an apocalyptic number.

2430106103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430106103320 is an abundant number, since it is smaller than the sum of its proper divisors (3825831696680).

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

2430106103320 is a wasteful number, since it uses less digits than its factorization.

2430106103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852148 (or 9852144 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 2430106103320 in words is "two trillion, four hundred thirty billion, one hundred six million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 881 1762 3524 4405 6167 7048 8810 12334 17620 24668 30835 35240 49336 61670 123340 246680 9851249 19702498 39404996 49256245 68958743 78809992 98512490 137917486 197024980 275834972 344793715 394049960 551669944 689587430 1379174860 2758349720 8678950369 17357900738 34715801476 43394751845 60752652583 69431602952 86789503690 121505305166 173579007380 243010610332 303763262915 347158014760 486021220664 607526525830 1215053051660 2430106103320