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103301015013 = 3471912775503
BaseRepresentation
bin110000000110100111…
…0000110010111100101
3100212122020002021120000
41200031032012113211
53143030024440023
6115242243131513
710314616065660
oct1401516062745
9325566067500
10103301015013
113a89a803589
121802b373b99
139983688a71
144ddd6226d7
152a48e3d243
hex180d3865e5

103301015013 has 80 divisors (see below), whose sum is σ = 187104952320. Its totient is φ = 55481285664.

The previous prime is 103301015009. The next prime is 103301015053. The reversal of 103301015013 is 310510103301.

It is not a de Polignac number, because 103301015013 - 22 = 103301015009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301015053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1330420 + ... + 1405922.

It is an arithmetic number, because the mean of its divisors is an integer number (2338811904).

Almost surely, 2103301015013 is an apocalyptic number.

It is an amenable number.

103301015013 is a deficient number, since it is larger than the sum of its proper divisors (83803937307).

103301015013 is a wasteful number, since it uses less digits than its factorization.

103301015013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75668 (or 75659 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 103301015013 its reverse (310510103301), we get a palindrome (413811118314).

The spelling of 103301015013 in words is "one hundred three billion, three hundred one million, fifteen thousand, thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 127 133 171 189 381 399 513 567 889 1143 1197 1539 2413 2667 3429 3591 7239 8001 10287 10773 16891 21717 24003 50673 65151 72009 75503 152019 195453 226509 456057 528521 679527 1368171 1434557 1585563 2038581 4303671 4756689 6115743 9588881 10041899 12911013 14270067 28766643 30125697 38733039 42810201 67122167 86299929 90377091 116199117 182188739 201366501 258899787 271131273 546566217 604099503 776699361 813393819 1275321173 1639698651 1812298509 3825963519 4919095953 5436895527 11477890557 14757287859 34433671671 103301015013