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103014202024013 = 71719293115051707
BaseRepresentation
bin10111011011000011011100…
…111010110010000001001101
3111111202001122212012101011012
4113123003130322302001031
5102000241041204232023
61003032023204535005
730461346646462220
oct2733033472620115
9444661585171135
10103014202024013
112a907094516785
12b678a139b1465
13456327509a347
141b61cb1d6d5b7
15bd9980c50978
hex5db0dceb204d

103014202024013 has 64 divisors (see below), whose sum is σ = 136177882214400. Its totient is φ = 75770740362240.

The previous prime is 103014202024003. The next prime is 103014202024043. The reversal of 103014202024013 is 310420202410301.

It is not a de Polignac number, because 103014202024013 - 212 = 103014202019917 is a prime.

It is a super-2 number, since 2×1030142020240132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103014202024013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103014202024003) 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, 17866106 + ... + 22917812.

It is an arithmetic number, because the mean of its divisors is an integer number (2127779409600).

Almost surely, 2103014202024013 is an apocalyptic number.

It is an amenable number.

103014202024013 is a deficient number, since it is larger than the sum of its proper divisors (33163680190387).

103014202024013 is a wasteful number, since it uses less digits than its factorization.

103014202024013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052090.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 103014202024013 its reverse (310420202410301), we get a palindrome (413434404434314).

The spelling of 103014202024013 in words is "one hundred three trillion, fourteen billion, two hundred two million, twenty-four thousand, thirteen".

Divisors: 1 7 17 19 29 119 133 203 311 323 493 551 2177 2261 3451 3857 5287 5909 9019 9367 37009 41363 63133 65569 100453 153323 171361 703171 1073261 1199527 2913137 5051707 20391959 35361949 85879019 95982433 146499503 601153133 671877031 1025496521 1571080877 1631701361 2490491551 2783490557 10997566139 11421909527 17433440857 19484433899 26708374909 29850536663 45561345433 47319339469 186958624363 208953756641 318929418031 331235376283 507459123271 774542872361 865665563227 3552213862897 5421800106527 6059658942589 14716314574859 103014202024013