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103105421405012 = 2213412411873107137
BaseRepresentation
bin10111011100011000011010…
…000001000110101101010100
3111112001210010002120001112202
4113130120122001012231110
5102003234400334430022
61003141550544504032
730501056313434345
oct2734303201065524
9445053102501482
10103105421405012
112a941844480864
12b69263101b018
13456ba5170b530
141b66486ba40cc
15bdc01e195592
hex5dc61a046b54

103105421405012 has 96 divisors (see below), whose sum is σ = 199987961468064. Its totient is φ = 46208699596800.

The previous prime is 103105421405009. The next prime is 103105421405017. The reversal of 103105421405012 is 210504124501301.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 58497502469956 + 44607918935056 = 7648366^2 + 6678916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103105421405017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962316308 + ... + 962423444.

It is an arithmetic number, because the mean of its divisors is an integer number (2083207931959).

Almost surely, 2103105421405012 is an apocalyptic number.

It is an amenable number.

103105421405012 is a deficient number, since it is larger than the sum of its proper divisors (96882540063052).

103105421405012 is a wasteful number, since it uses less digits than its factorization.

103105421405012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109309 (or 109307 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 103105421405012 its reverse (210504124501301), we get a palindrome (313609545906313).

The spelling of 103105421405012 in words is "one hundred three trillion, one hundred five billion, four hundred twenty-one million, four hundred five thousand, twelve".

Divisors: 1 2 4 13 26 41 52 82 164 241 482 533 964 1066 1873 2132 3133 3746 6266 7492 9881 12532 19762 24349 39524 48698 76793 97396 107137 128453 153586 214274 256906 307172 428548 451393 513812 902786 998309 1392781 1805572 1996618 2785562 3993236 4392617 5571124 5868109 8785234 11736218 17570468 18507113 23472436 25820017 37014226 51640034 57104021 74028452 103280068 114208042 200667601 228416084 240592469 335660221 401335202 481184938 671320442 802670404 962369876 1058620697 1342640884 2117241394 2608678813 4234482788 5217357626 8227371641 10434715252 13762069061 16454743282 27524138122 32909486564 48360891841 55048276244 96721783682 106955831333 193443567364 213911662666 427823325332 628691593933 1257383187866 1982796565481 2514766375732 3965593130962 7931186261924 25776355351253 51552710702506 103105421405012