Search a number
-
+
103303300013133 = 31171793075633229
BaseRepresentation
bin10111011111010000101100…
…100000000101110001001101
3111112202200212121001212110120
4113133100230200011301031
5102020010124300410013
61003412514134055153
730521263035030363
oct2737205440056115
9445680777055416
10103303300013133
112aa08757822930
12b704a561aa4b9
1345845c838ca2c
141b71c9922b633
15be2251279123
hex5df42c805c4d

103303300013133 has 128 divisors (see below), whose sum is σ = 155130096844800. Its totient is φ = 60619717267200.

The previous prime is 103303300013051. The next prime is 103303300013149. The reversal of 103303300013133 is 331310003303301.

It is not a de Polignac number, because 103303300013133 - 233 = 103294710078541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303300013153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31992348963 + ... + 31992352191.

It is an arithmetic number, because the mean of its divisors is an integer number (1211953881600).

Almost surely, 2103303300013133 is an apocalyptic number.

It is an amenable number.

103303300013133 is a deficient number, since it is larger than the sum of its proper divisors (51826796831667).

103303300013133 is a wasteful number, since it uses less digits than its factorization.

103303300013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 103303300013133 its reverse (331310003303301), we get a palindrome (434613303316434).

The spelling of 103303300013133 in words is "one hundred three trillion, three hundred three billion, three hundred million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 11 33 71 79 213 237 307 563 781 869 921 1689 2343 2607 3229 3377 5609 6193 9687 10131 16827 18579 21797 24253 35519 39973 44477 61699 65391 72759 106557 119919 133431 172841 185097 229259 239767 255091 266783 439703 489247 518523 687777 719301 765273 800349 991303 1319109 1467741 1721963 1817927 1901251 2521849 2806001 2973909 3157867 5165889 5453781 5703753 7565547 8418003 9473601 10904333 12271711 13654439 18111461 18941593 19997197 32712999 34736537 36815133 40963317 54334383 56824779 59991591 70382513 78312937 104209611 129072817 134988821 143616233 150198829 199226071 211147539 234938811 387218451 404966463 430848699 450596487 558103589 597678213 774207643 861442307 969465169 1419800987 1579778563 1674310767 2322622929 2584326921 2908395507 4259402961 4739335689 5560218527 6139139479 10196752543 10664116859 16680655581 18417418437 30590257629 31992350577 39625354819 44090183531 61162403797 112164277973 118876064457 132270550593 183487211391 336492833919 435878903009 484992018841 1307636709027 1454976056523 3130403030701 9391209092103 34434433337711 103303300013133