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16134122200 = 2352725331063
BaseRepresentation
bin11110000011010101…
…10010101011011000
31112122102012022212111
433001222302223120
5231020313402300
611224550122104
71110550530100
oct170152625330
945572168774
1016134122200
11692a322899
123163350334
1316a17b6091
14ad0ac6200
1564668a9ba
hex3c1ab2ad8

16134122200 has 144 divisors (see below), whose sum is σ = 44460971280. Its totient is φ = 5427152640.

The previous prime is 16134122183. The next prime is 16134122203. The reversal of 16134122200 is 222143161.

16134122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16134122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 503869 + ... + 534931.

It is an arithmetic number, because the mean of its divisors is an integer number (308756745).

Almost surely, 216134122200 is an apocalyptic number.

16134122200 is a gapful number since it is divisible by the number (10) 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 16134122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230485640).

16134122200 is an abundant number, since it is smaller than the sum of its proper divisors (28326849080).

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

16134122200 is a wasteful number, since it uses less digits than its factorization.

16134122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31146 (or 31130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 16134122200 its reverse (222143161), we get a palindrome (16356265361).

The spelling of 16134122200 in words is "sixteen billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 53 56 70 98 100 106 140 175 196 200 212 245 265 280 350 371 392 424 490 530 700 742 980 1060 1225 1325 1400 1484 1855 1960 2120 2450 2597 2650 2968 3710 4900 5194 5300 7420 9275 9800 10388 10600 12985 14840 18550 20776 25970 31063 37100 51940 62126 64925 74200 103880 124252 129850 155315 217441 248504 259700 310630 434882 519400 621260 776575 869764 1087205 1242520 1522087 1553150 1646339 1739528 2174410 3044174 3106300 3292678 4348820 5436025 6088348 6212600 6585356 7610435 8231695 8697640 10872050 11524373 12176696 13170712 15220870 16463390 21744100 23048746 30441740 32926780 38052175 41158475 43488200 46097492 57621865 60883480 65853560 76104350 80670611 82316950 92194984 115243730 152208700 161341222 164633900 230487460 288109325 304417400 322682444 329267800 403353055 460974920 576218650 645364888 806706110 1152437300 1613412220 2016765275 2304874600 3226824440 4033530550 8067061100 16134122200