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201213301303000 = 23537142673201473
BaseRepresentation
bin101101110000000010011111…
…010110010010011011011000
3222101102210200221002101000201
4231300002133112102123120
5202333134320113144000
61551540040423111544
760245116116242560
oct5560023726223330
9871383627071021
10201213301303000
1159127099a69238
121a69859b5a25b4
1388374434b147c
143798ac0909da0
15183e04689696a
hexb7009f5926d8

201213301303000 has 128 divisors (see below), whose sum is σ = 538108299630720. Its totient is φ = 68986591641600.

The previous prime is 201213301302997. The next prime is 201213301303031. The reversal of 201213301303000 is 303103312102.

It is a super-2 number, since 2×2012133013030002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998610264 + ... + 998811736.

It is an arithmetic number, because the mean of its divisors is an integer number (4203971090865).

Almost surely, 2201213301303000 is an apocalyptic number.

201213301303000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213301303000 is an abundant number, since it is smaller than the sum of its proper divisors (336894998327720).

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

201213301303000 is a wasteful number, since it uses less digits than its factorization.

201213301303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344174 (or 344160 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 201213301303000 its reverse (303103312102), we get a palindrome (201516404615102).

The spelling of 201213301303000 in words is "two hundred one trillion, two hundred thirteen billion, three hundred one million, three hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 142673 201473 285346 402946 570692 713365 805892 998711 1007365 1141384 1410311 1426730 1611784 1997422 2014730 2820622 2853460 3566825 3994844 4029460 4993555 5036825 5641244 5706920 7051555 7133650 7989688 8058920 9987110 10073650 11282488 14103110 14267300 17834125 19974220 20147300 24967775 25184125 28206220 28534600 35257775 35668250 39948440 40294600 49935550 50368250 56412440 70515550 71336500 99871100 100736500 124838875 141031100 142673000 176288875 199742200 201473000 249677750 282062200 352577750 499355500 705155500 998711000 1410311000 28744757329 57489514658 114979029316 143723786645 201213301303 229958058632 287447573290 402426602606 574895146580 718618933225 804853205212 1006066506515 1149790293160 1437237866450 1609706410424 2012133013030 2874475732900 3593094666125 4024266026060 5030332532575 5748951465800 7186189332250 8048532052120 10060665065150 14372378664500 20121330130300 25151662662875 28744757329000 40242660260600 50303325325750 100606650651500 201213301303000