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2134243013100 = 22352116011076107
BaseRepresentation
bin11111000011101010110…
…010111111000111101100
321120000212001202111100020
4133003222302333013230
5234431412202404400
64312242510402140
7310123350201012
oct37035262770754
97500761674306
102134243013100
117531445a5510
122a5769800350
131263484c4a33
147542568a8b2
153a7b35ba2a0
hex1f0eacbf1ec

2134243013100 has 144 divisors (see below), whose sum is σ = 6747662038656. Its totient is φ = 516530880000.

The previous prime is 2134243013093. The next prime is 2134243013129. The reversal of 2134243013100 is 13103424312.

It is a happy number.

It is a super-2 number, since 2×21342430131002 (a number of 25 digits) contains 22 as substring.

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, 1445247 + ... + 2521353.

Almost surely, 22134243013100 is an apocalyptic number.

2134243013100 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 2134243013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373831019328).

2134243013100 is an abundant number, since it is smaller than the sum of its proper divisors (4613419025556).

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

2134243013100 is a wasteful number, since it uses less digits than its factorization.

2134243013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076736 (or 1076729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2134243013100 its reverse (13103424312), we get a palindrome (2147346437412).

The spelling of 2134243013100 in words is "two trillion, one hundred thirty-four billion, two hundred forty-three million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 601 660 825 1100 1202 1650 1803 2404 3005 3300 3606 6010 6611 7212 9015 12020 13222 15025 18030 19833 26444 30050 33055 36060 39666 45075 60100 66110 79332 90150 99165 132220 165275 180300 198330 330550 396660 495825 661100 991650 1076107 1983300 2152214 3228321 4304428 5380535 6456642 10761070 11837177 12913284 16141605 21522140 23674354 26902675 32283210 35511531 47348708 53805350 59185885 64566420 71023062 80708025 107610700 118371770 142046124 161416050 177557655 236743540 295929425 322832100 355115310 591858850 646740307 710230620 887788275 1183717700 1293480614 1775576550 1940220921 2586961228 3233701535 3551153100 3880441842 6467403070 7114143377 7760883684 9701104605 12934806140 14228286754 16168507675 19402209210 21342430131 28456573508 32337015350 35570716885 38804418420 42684860262 48505523025 64674030700 71141433770 85369720524 97011046050 106712150655 142282867540 177853584425 194022092100 213424301310 355707168850 426848602620 533560753275 711414337700 1067121506550 2134243013100