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30201132033300 = 223522333471307731
BaseRepresentation
bin1101101110111101111111…
…01111110010010100010100
310221221012101211002200201210
412313132333233302110110
512424303404300031200
6144122113012421420
76234650130433644
oct667367757622424
9127835354080653
1030201132033300
119694256766668
123479222017870
1313b0c541466c7
14765a57948524
15375902810650
hex1b77bfbf2514

30201132033300 has 144 divisors (see below), whose sum is σ = 91208469284352. Its totient is φ = 7701169660800.

The previous prime is 30201132033287. The next prime is 30201132033301. The reversal of 30201132033300 is 333023110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201132033301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22440435 + ... + 23748165.

It is an arithmetic number, because the mean of its divisors is an integer number (633392147808).

Almost surely, 230201132033300 is an apocalyptic number.

30201132033300 is a gapful number since it is divisible by the number (30) 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 30201132033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45604234642176).

30201132033300 is an abundant number, since it is smaller than the sum of its proper divisors (61007337251052).

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

30201132033300 is a wasteful number, since it uses less digits than its factorization.

30201132033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311118 (or 1311111 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30201132033300 its reverse (333023110203), we get a palindrome (30534155143503).

The spelling of 30201132033300 in words is "thirty trillion, two hundred one billion, one hundred thirty-two million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3347 3450 6694 6900 10041 13388 16735 20082 33470 40164 50205 66940 76981 83675 100410 153962 167350 200820 230943 251025 307924 334700 384905 461886 502050 769810 923772 1004100 1154715 1307731 1539620 1924525 2309430 2615462 3849050 3923193 4618860 5230924 5773575 6538655 7698100 7846386 11547150 13077310 15692772 19615965 23094300 26154620 30077813 32693275 39231930 60155626 65386550 78463860 90233439 98079825 120311252 130773100 150389065 180466878 196159650 300778130 360933756 392319300 451167195 601556260 751945325 902334390 1503890650 1804668780 2255835975 3007781300 4376975657 4511671950 8753951314 9023343900 13130926971 17507902628 21884878285 26261853942 43769756570 52523707884 65654634855 87539513140 100670440111 109424391425 131309269710 201340880222 218848782850 262618539420 302011320333 328273174275 402681760444 437697565700 503352200555 604022640666 656546348550 1006704401110 1208045281332 1313092697100 1510056601665 2013408802220 2516761002775 3020113203330 5033522005550 6040226406660 7550283008325 10067044011100 15100566016650 30201132033300