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201353103006 = 231152123932447
BaseRepresentation
bin1011101110000110010…
…1001000011010011110
3201020201122101102212120
42323201211020122132
511244332343244011
6232300023443410
720355501064506
oct2734145103236
9636648342776
10201353103006
1178436639550
12330348b6566
1315cab75aa43
149a61aa6a06
155387153a06
hex2ee194869e

201353103006 has 64 divisors (see below), whose sum is σ = 440522966016. Its totient is φ = 60848652800.

The previous prime is 201353102989. The next prime is 201353103011. The reversal of 201353103006 is 600301353102.

It is a happy number.

201353103006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82284475 + ... + 82286921.

It is an arithmetic number, because the mean of its divisors is an integer number (6883171344).

Almost surely, 2201353103006 is an apocalyptic number.

201353103006 is an abundant number, since it is smaller than the sum of its proper divisors (239169863010).

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

201353103006 is a wasteful number, since it uses less digits than its factorization.

201353103006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 201353103006 its reverse (600301353102), we get a palindrome (801654456108).

The spelling of 201353103006 in words is "two hundred one billion, three hundred fifty-three million, one hundred three thousand, six".

Divisors: 1 2 3 6 11 22 33 66 521 1042 1563 2393 2447 3126 4786 4894 5731 7179 7341 11462 14358 14682 17193 26323 26917 34386 52646 53834 78969 80751 157938 161502 1246753 1274887 2493506 2549774 3740259 3824661 5855671 7480518 7649322 11711342 13714283 14023757 17567013 27428566 28047514 35134026 41142849 42071271 64412381 82285698 84142542 128824762 193237143 386474286 3050804591 6101609182 9152413773 18304827546 33558850501 67117701002 100676551503 201353103006