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10122422334134 = 21131891738631117
BaseRepresentation
bin1001001101001100111101…
…1000110011001010110110
31022211200202000110012001212
42103103033120303022312
52311321210104143014
633310102052321422
72063215030123325
oct223231730631266
938750660405055
1010122422334134
113252993575680
121175962913272
1358570414b1a6
1426dcdc06a0bc
151284928d223e
hex934cf6332b6

10122422334134 has 128 divisors (see below), whose sum is σ = 17426083184640. Its totient is φ = 4368213273600.

The previous prime is 10122422334121. The next prime is 10122422334139. The reversal of 10122422334134 is 43143322422101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122422334134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122422334139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9062150144 + ... + 9062151260.

It is an arithmetic number, because the mean of its divisors is an integer number (136141274880).

Almost surely, 210122422334134 is an apocalyptic number.

10122422334134 is a deficient number, since it is larger than the sum of its proper divisors (7303660850506).

10122422334134 is a wasteful number, since it uses less digits than its factorization.

10122422334134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10122422334134 its reverse (43143322422101), we get a palindrome (53265744756235).

The spelling of 10122422334134 in words is "ten trillion, one hundred twenty-two billion, four hundred twenty-two million, three hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 11 22 31 62 89 173 178 341 346 682 863 979 1117 1726 1903 1958 2234 2759 3806 5363 5518 9493 10726 12287 15397 18986 24574 26753 30349 30794 34627 53506 58993 60698 69254 76807 99413 117986 149299 153614 169367 193241 198826 294283 298598 338734 380897 386482 477307 588566 761794 844877 954614 963971 1093543 1642289 1689754 1927942 2125651 2187086 2381017 3081803 3284578 4251302 4628269 4762034 5250377 5990471 6163606 9256538 10500754 10603681 11980942 13287611 17198449 21207362 26191187 26575222 29883101 33899833 34396898 50910959 52382374 59766202 65895181 67799666 85793419 101821918 131790362 146163721 166766983 171586838 189182939 292327442 328714111 333533966 378365878 411915941 533151919 657428222 823831882 943727609 1066303838 1834436813 1887455218 2659595989 3668873626 4531075351 5169776473 5319191978 5864671109 9062150702 10339552946 11729342218 14842261487 29255555879 29684522974 56867541203 58511111758 113735082406 163264876357 326529752714 460110106097 920220212194 5061211167067 10122422334134