Search a number
-
+
201331310301300 = 223521937954629257
BaseRepresentation
bin101101110001110000011001…
…001110111001000001110100
3222101212002022011211121122110
4231301300121032321001310
5202342103010414120200
61552110154353331020
760256464361211364
oct5561603116710164
9871762264747573
10201331310301300
1159172146a72303
121a6b7434566a70
1388455cc05210a
1437a06b765a9a4
151842151b65b50
hexb71c193b9074

201331310301300 has 144 divisors (see below), whose sum is σ = 629749828917440. Its totient is φ = 49487980631040.

The previous prime is 201331310301287. The next prime is 201331310301313. The reversal of 201331310301300 is 3103013133102.

It is an interprime number because it is at equal distance from previous prime (201331310301287) and next prime (201331310301313).

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 47 ways as a sum of consecutive naturals, for example, 477103729 + ... + 477525528.

Almost surely, 2201331310301300 is an apocalyptic number.

201331310301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331310301300 is an abundant number, since it is smaller than the sum of its proper divisors (428418518616140).

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

201331310301300 is a wasteful number, since it uses less digits than its factorization.

201331310301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954629330 (or 954629323 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 201331310301300 its reverse (3103013133102), we get a palindrome (204434323434402).

The spelling of 201331310301300 in words is "two hundred one trillion, three hundred thirty-one billion, three hundred ten million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 5550 5700 7030 8436 10545 11100 14060 17575 21090 35150 42180 52725 70300 105450 210900 954629257 1909258514 2863887771 3818517028 4773146285 5727775542 9546292570 11455551084 14319438855 18137955883 19092585140 23865731425 28638877710 35321282509 36275911766 47731462850 54413867649 57277755420 70642565018 71597194275 72551823532 90689779415 95462925700 105963847527 108827735298 141285130036 143194388550 176606412545 181379558830 211927695054 217655470596 272069338245 286388777100 353212825090 362759117660 423855390108 453448897075 529819237635 544138676490 671104367671 706425650180 883032062725 906897794150 1059638475270 1088277352980 1342208735342 1360346691225 1766064125450 1813795588300 2013313103013 2119276950540 2649096188175 2684417470684 2720693382450 3355521838355 3532128250900 4026626206026 5298192376350 5441386764900 6711043676710 8053252412052 10066565515065 10596384752700 13422087353420 16777609191775 20133131030130 33555218383550 40266262060260 50332827575325 67110436767100 100665655150650 201331310301300