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103664104126 = 2111723591571301
BaseRepresentation
bin110000010001011011…
…1001011001010111110
3100220120112022010011221
41200202313023022332
53144301002313001
6115342253303554
710326615226552
oct1404267131276
9326515263157
10103664104126
113aa66758830
1218110a94bba
139a109758ab
145035939862
152a6ac601a1
hex1822dcb2be

103664104126 has 128 divisors (see below), whose sum is σ = 191957713920. Its totient is φ = 41403648000.

The previous prime is 103664104099. The next prime is 103664104127. The reversal of 103664104126 is 621401466301.

103664104126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 103664104091 and 103664104100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103664104127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79679676 + ... + 79680976.

It is an arithmetic number, because the mean of its divisors is an integer number (1499669640).

Almost surely, 2103664104126 is an apocalyptic number.

103664104126 is a deficient number, since it is larger than the sum of its proper divisors (88293609794).

103664104126 is a wasteful number, since it uses less digits than its factorization.

103664104126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 103664104126 in words is "one hundred three billion, six hundred sixty-four million, one hundred four thousand, one hundred twenty-six".

Divisors: 1 2 11 17 22 23 34 46 59 118 157 187 253 314 374 391 506 649 782 1003 1298 1301 1357 1727 2006 2602 2669 2714 3454 3611 4301 5338 7222 8602 9263 11033 14311 14927 18526 22066 22117 23069 28622 29359 29854 29923 39721 44234 46138 58718 59846 61387 76759 79442 101893 122774 153518 157471 203786 204257 213049 243287 253759 314942 329153 408514 426098 486574 507518 508691 658306 675257 844349 1017382 1304903 1350514 1688698 1732181 1765457 2246827 2343539 2609806 3464362 3472369 3530914 3621833 4493654 4687078 4697911 5595601 6944738 7243666 9395822 11191202 12051163 14353933 19420027 24102326 28707866 30012769 38196059 38840054 39840163 51677021 60025538 76392118 79680326 79864487 103354042 132562793 159728974 204869771 265125586 277176749 330140459 409739542 554353498 660280918 878509357 1757018714 2253567481 3048944239 4507134962 4712004733 6097888478 9424009466 51832052063 103664104126