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22034230403100 = 22352791861749939
BaseRepresentation
bin1010000001010001111100…
…11110011110000000011100
32220000110012101212000002020
411000220332132132000130
510342002100440344400
6114510215151300140
74432630525114356
oct500507636360034
986013171760066
1022034230403100
1170257346a4363
12257a46b21a650
13c3aa854a24a6
14562668d240d6
152832630752a0
hex140a3e79e01c

22034230403100 has 144 divisors (see below), whose sum is σ = 64564125964800. Its totient is φ = 5800989841920.

The previous prime is 22034230403099. The next prime is 22034230403137. The reversal of 22034230403100 is 130403243022.

It is a super-3 number, since 3×220342304031003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 441197931 + ... + 441247869.

Almost surely, 222034230403100 is an apocalyptic number.

22034230403100 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 22034230403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282062982400).

22034230403100 is an abundant number, since it is smaller than the sum of its proper divisors (42529895561700).

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

22034230403100 is a wasteful number, since it uses less digits than its factorization.

22034230403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68652 (or 68645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22034230403100 its reverse (130403243022), we get a palindrome (22164633646122).

The spelling of 22034230403100 in words is "twenty-two trillion, thirty-four billion, two hundred thirty million, four hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 18617 23700 37234 49939 55851 74468 93085 99878 111702 149817 186170 199756 223404 249695 279255 299634 372340 465425 499390 558510 599268 749085 930850 998780 1117020 1248475 1396275 1470743 1498170 1861700 2496950 2792550 2941486 2996340 3745425 3945181 4412229 4993900 5585100 5882972 7353715 7490850 7890362 8824458 11835543 14707430 14981700 15780724 17648916 19725905 22061145 23671086 29414860 36768575 39451810 44122290 47342172 59177715 73537150 78903620 88244580 98629525 110305725 118355430 147074300 197259050 220611450 236710860 295888575 394518100 441222900 591777150 929714363 1183554300 1859428726 2789143089 3718857452 4648571815 5578286178 9297143630 11156572356 13945715445 18594287260 23242859075 27891430890 46485718150 55782861780 69728577225 73447434677 92971436300 139457154450 146894869354 220342304031 278914308900 293789738708 367237173385 440684608062 734474346770 881369216124 1101711520155 1468948693540 1836185866925 2203423040310 3672371733850 4406846080620 5508557600775 7344743467700 11017115201550 22034230403100