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103313003300301 = 317127311166330841
BaseRepresentation
bin10111011111011001101110…
…110111001100010111001101
3111112210121220211111221002210
4113133121232313030113031
5102020140012321102201
61003421201041141033
730522055350433344
oct2737315667142715
9445717824457083
10103313003300301
112aa11886aa9123
12b70690392a779
1345854b3760682
141b72539bd4b5b
15be261d0771d6
hex5df66edcc5cd

103313003300301 has 64 divisors (see below), whose sum is σ = 147568245866496. Its totient is φ = 64065999513600.

The previous prime is 103313003300219. The next prime is 103313003300303. The reversal of 103313003300301 is 103003300313301.

It is not a de Polignac number, because 103313003300301 - 27 = 103313003300173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313003300303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3349843641 + ... + 3349874481.

It is an arithmetic number, because the mean of its divisors is an integer number (2305753841664).

Almost surely, 2103313003300301 is an apocalyptic number.

It is an amenable number.

103313003300301 is a deficient number, since it is larger than the sum of its proper divisors (44255242566195).

103313003300301 is a wasteful number, since it uses less digits than its factorization.

103313003300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32962.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 103313003300301 its reverse (103003300313301), we get a palindrome (206316303613602).

The spelling of 103313003300301 in words is "one hundred three trillion, three hundred thirteen billion, three million, three hundred thousand, three hundred one".

Divisors: 1 3 17 51 127 311 381 933 1663 2159 4989 5287 6477 15861 28271 30841 39497 84813 92523 118491 211201 517193 524297 633603 671449 1551579 1572891 2014347 3590417 3916807 8792281 9591551 10771251 11750421 26376843 28774653 51288583 65683511 66585719 153865749 163056367 197050533 199757157 489169101 871905911 1116619687 1218126977 2615717733 3349859061 3654380931 6513650041 15950749313 19540950123 20708158609 47852247939 62124475827 110732050697 271162738321 332196152091 813488214963 2025745162751 6077235488253 34437667766767 103313003300301