Search a number
-
+
201001202122000 = 2453719755643617
BaseRepresentation
bin101101101100111100111101…
…010000000111110100010000
3222100200112020101001121102111
4231230330331100013310100
5202321200430220401000
61551254402201355104
760223600111040440
oct5554747520076420
9870615211047374
10201001202122000
11590551495642a5
121a663467a98a94
1388204416129c7
14378c71d990120
15183878110ecba
hexb6cf3d407d10

201001202122000 has 160 divisors (see below), whose sum is σ = 584686805863680. Its totient is φ = 65287608422400.

The previous prime is 201001202121947. The next prime is 201001202122013. The reversal of 201001202122000 is 221202100102.

It is a happy number.

201001202122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377555809 + ... + 378087808.

It is an arithmetic number, because the mean of its divisors is an integer number (3654292536648).

Almost surely, 2201001202122000 is an apocalyptic number.

201001202122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001202122000 is an abundant number, since it is smaller than the sum of its proper divisors (383685603741680).

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

201001202122000 is a wasteful number, since it uses less digits than its factorization.

201001202122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755643666 (or 755643650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201001202122000 its reverse (221202100102), we get a palindrome (201222404222102).

The spelling of 201001202122000 in words is "two hundred one trillion, one billion, two hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 9500 10640 13300 14000 16625 19000 26600 33250 38000 53200 66500 133000 266000 755643617 1511287234 3022574468 3778218085 5289505319 6045148936 7556436170 10579010638 12090297872 14357228723 15112872340 18891090425 21158021276 26447526595 28714457446 30225744680 37782180850 42316042552 52895053190 57428914892 60451489360 71786143615 75564361700 84632085104 94455452125 100500601061 105790106380 114857829784 132237632975 143572287230 151128723400 188910904250 201001202122 211580212760 229715659568 264475265950 287144574460 302257446800 358930718075 377821808500 402002404244 423160425520 502503005305 528950531900 574289148920 661188164875 717861436150 755643617000 804004808488 1005006010610 1057901063800 1148578297840 1322376329750 1435722872300 1511287234000 1608009616976 1794653590375 2010012021220 2115802127600 2512515026525 2644752659500 2871445744600 3589307180750 4020024042440 5025030053050 5289505319000 5742891489200 7178614361500 8040048084880 10050060106100 10579010638000 12562575132625 14357228723000 20100120212200 25125150265250 28714457446000 40200240424400 50250300530500 100500601061000 201001202122000