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201321033030 = 232513243770607
BaseRepresentation
bin1011101101111110101…
…0110010110101000110
3201020122102001010010200
42323133222302311012
511244301141024110
6232252520231330
720354631355155
oct2733752626506
9636572033120
10201321033030
117841a524937
123302600b546
1315ca4c0c820
149a5b71959c
15538441b6c0
hex2edfab2d46

201321033030 has 96 divisors (see below), whose sum is σ = 563938187904. Its totient is φ = 49534910208.

The previous prime is 201321032981. The next prime is 201321033047. The reversal of 201321033030 is 30330123102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201321032994 and 201321033012.

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, 2815987 + ... + 2886593.

It is an arithmetic number, because the mean of its divisors is an integer number (5874356124).

Almost surely, 2201321033030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201321033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281969093952).

201321033030 is an abundant number, since it is smaller than the sum of its proper divisors (362617154874).

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

201321033030 is a wasteful number, since it uses less digits than its factorization.

201321033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73070 (or 73067 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201321033030 its reverse (30330123102), we get a palindrome (231651156132).

The spelling of 201321033030 in words is "two hundred one billion, three hundred twenty-one million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2437 4874 7311 12185 14622 21933 24370 31681 36555 43866 63362 70607 73110 95043 109665 141214 158405 190086 211821 219330 285129 316810 353035 423642 475215 570258 635463 706070 917891 950430 1059105 1270926 1425645 1835782 2118210 2753673 2851290 3177315 4589455 5507346 6354630 8261019 9178910 13768365 16522038 27536730 41305095 82610190 172069259 344138518 516207777 860346295 1032415554 1548623331 1720692590 2236900367 2581038885 3097246662 4473800734 5162077770 6710701101 7743116655 11184501835 13421402202 15486233310 20132103303 22369003670 33553505505 40264206606 67107011010 100660516515 201321033030