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3001192100200 = 235272579831217
BaseRepresentation
bin101011101011000100111…
…111010011000101101000
3101121220121020102020111101
4223223010333103011220
5343132420134201300
610214421214211144
7426554223640630
oct53530477230550
911556536366441
103001192100200
11a57886777258
124057991b3ab4
1318a01b7b9738
14a538936b6c0
155310421db6a
hex2bac4fd3168

3001192100200 has 96 divisors (see below), whose sum is σ = 7977697876800. Its totient is φ = 1028579927040.

The previous prime is 3001192100189. The next prime is 3001192100233. The reversal of 3001192100200 is 20012911003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3194992 + ... + 4026208.

It is an arithmetic number, because the mean of its divisors is an integer number (83101019550).

Almost surely, 23001192100200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001192100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988848938400).

3001192100200 is an abundant number, since it is smaller than the sum of its proper divisors (4976505776600).

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

3001192100200 is a wasteful number, since it uses less digits than its factorization.

3001192100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833819 (or 833810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 3001192100200 in words is "three trillion, one billion, one hundred ninety-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2579 5158 10316 12895 18053 20632 25790 36106 51580 64475 72212 90265 103160 128950 144424 180530 257900 361060 451325 515800 722120 831217 902650 1662434 1805300 3324868 3610600 4156085 5818519 6649736 8312170 11637038 16624340 20780425 23274076 29092595 33248680 41560850 46548152 58185190 83121700 116370380 145462975 166243400 232740760 290925950 581851900 1163703800 2143708643 4287417286 8574834572 10718543215 15005960501 17149669144 21437086430 30011921002 42874172860 53592716075 60023842004 75029802505 85748345720 107185432150 120047684008 150059605010 214370864300 300119210020 375149012525 428741728600 600238420040 750298025050 1500596050100 3001192100200