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20134223120310 = 23513535737169789
BaseRepresentation
bin1001001001111110111010…
…01101111000011110110110
32122021210221121221111020220
410210333131031320132312
510114334342104322220
6110453311233235210
74145435550513225
oct444773515703666
978253847844226
1020134223120310
116462970064a42
122312192702b06
13b3085909aa10
144d870455acbc
1524db0d844540
hex124fdd3787b6

20134223120310 has 128 divisors (see below), whose sum is σ = 53030649248640. Its totient is φ = 4861728608256.

The previous prime is 20134223120287. The next prime is 20134223120483. The reversal of 20134223120310 is 1302132243102.

It is a super-3 number, since 3×201342231203103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118498896 + ... + 118668684.

It is an arithmetic number, because the mean of its divisors is an integer number (414301947255).

Almost surely, 220134223120310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134223120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515324624320).

20134223120310 is an abundant number, since it is smaller than the sum of its proper divisors (32896426128330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20134223120310 is a wasteful number, since it uses less digits than its factorization.

20134223120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175602.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20134223120310 its reverse (1302132243102), we get a palindrome (21436355363412).

The spelling of 20134223120310 in words is "twenty trillion, one hundred thirty-four billion, two hundred twenty-three million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 5737 6890 10335 11474 17211 20670 28685 34422 57370 74581 86055 149162 169789 172110 223743 304061 339578 372905 447486 509367 608122 745810 848945 912183 1018734 1118715 1520305 1697890 1824366 2207257 2237430 2546835 3040610 3952793 4414514 4560915 5093670 6621771 7905586 8998817 9121830 11036285 11858379 13243542 17997634 19763965 22072570 23716758 26996451 33108855 39527930 44994085 53992902 59291895 66217710 89988170 116984621 118583790 134982255 233969242 269964510 350953863 584923105 701907726 974079493 1169846210 1754769315 1948158986 2922238479 3509538630 4870397465 5844476958 9740794930 12663033409 14611192395 25326066818 29222384790 37989100227 51626213129 63315167045 75978200454 103252426258 126630334090 154878639387 189945501135 258131065645 309757278774 379891002270 516262131290 671140770677 774393196935 1342281541354 1548786393870 2013422312031 3355703853385 4026844624062 6711407706770 10067111560155 20134223120310