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2012304434100 = 22352223148920201
BaseRepresentation
bin11101010010000110101…
…100001110001110110100
321010101002221210212101120
4131102012230032032310
5230432144413342400
64140235003423540
7265245531316542
oct35220654161664
97111087725346
102012304434100
11706460435294
12285bb8824bb0
131179b47b9ccc
146d578ab6d92
1537528335ca0
hex1d486b0e3b4

2012304434100 has 144 divisors (see below), whose sum is σ = 5852593743360. Its totient is φ = 533822976000.

The previous prime is 2012304434039. The next prime is 2012304434111. The reversal of 2012304434100 is 14344032102.

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, 99604000 + ... + 99624200.

Almost surely, 22012304434100 is an apocalyptic number.

2012304434100 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 2012304434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926296871680).

2012304434100 is an abundant number, since it is smaller than the sum of its proper divisors (3840289309260).

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

2012304434100 is a wasteful number, since it uses less digits than its factorization.

2012304434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21930 (or 21923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2012304434100 its reverse (14344032102), we get a palindrome (2026648466202).

The spelling of 2012304434100 in words is "two trillion, twelve billion, three hundred four million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 1489 2230 2676 2978 3345 4460 4467 5575 5956 6690 7445 8934 11150 13380 14890 16725 17868 20201 22300 22335 29780 33450 37225 40402 44670 60603 66900 74450 80804 89340 101005 111675 121206 148900 202010 223350 242412 303015 332047 404020 446700 505025 606030 664094 996141 1010050 1212060 1328188 1515075 1660235 1992282 2020100 3030150 3320470 3984564 4504823 4980705 6060300 6640940 8301175 9009646 9961410 13514469 16602350 18019292 19922820 22524115 24903525 27028938 30079289 33204700 45048230 49807050 54057876 60158578 67572345 90096460 90237867 99614100 112620575 120317156 135144690 150396445 180475734 225241150 270289380 300792890 337861725 360951468 450482300 451189335 601585780 675723450 751982225 902378670 1351446900 1503964450 1804757340 2255946675 3007928900 4511893350 6707681447 9023786700 13415362894 20123044341 26830725788 33538407235 40246088682 67076814470 80492177364 100615221705 134153628940 167692036175 201230443410 335384072350 402460886820 503076108525 670768144700 1006152217050 2012304434100