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134013121433020 = 225292103442117497
BaseRepresentation
bin11110011110001001011100…
…011111111000110110111100
3122120111112021211222211221201
4132132021130133320312330
5120031132333041324040
61153004440021505244
740141062036102424
oct3636113437706674
9576445254884851
10134013121433020
1139778711374715
1213044783272224
1359a14c995b86b
1425143ac037484
151075ec7490a9a
hex79e25c7f8dbc

134013121433020 has 144 divisors (see below), whose sum is σ = 294379752034368. Its totient is φ = 51239776573440.

The previous prime is 134013121433017. The next prime is 134013121433041. The reversal of 134013121433020 is 20334121310431.

It is a self number, because there is not a number n which added to its sum of digits gives 134013121433020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7659196912 + ... + 7659214408.

It is an arithmetic number, because the mean of its divisors is an integer number (2044303833572).

Almost surely, 2134013121433020 is an apocalyptic number.

134013121433020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134013121433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147189876017184).

134013121433020 is an abundant number, since it is smaller than the sum of its proper divisors (160366630601348).

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

134013121433020 is a wasteful number, since it uses less digits than its factorization.

134013121433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22088 (or 22057 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 134013121433020 its reverse (20334121310431), we get a palindrome (154347242743451).

The spelling of 134013121433020 in words is "one hundred thirty-four trillion, thirteen billion, one hundred twenty-one million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 841 1030 1682 2060 2987 3364 4205 4421 5974 8410 8842 11948 14935 16820 17497 17684 22105 29870 34994 44210 59740 69988 86623 87485 88420 128209 173246 174970 256418 346492 349940 433115 455363 507413 512836 641045 866230 910726 1014826 1282090 1732460 1802191 1821452 2029652 2276815 2537065 2564180 3604382 3718061 4553630 5074130 7208764 7436122 9010955 9107260 10148260 13205527 14714977 14872244 18021910 18590305 26411054 29429954 36043820 37180610 52263539 52822108 58859908 66027635 73574885 74361220 77354237 104527078 132055270 147149770 154708474 209054156 261317695 264110540 294299540 309416948 382960283 386771185 522635390 765920566 773542370 1045270780 1515642631 1531841132 1547084740 1914801415 2243272873 3031285262 3829602830 4486545746 6062570524 7578213155 7659205660 7967486411 8973091492 11216364365 15156426310 15934972822 22432728730 30312852620 31869945644 39837432055 44865457460 65054913317 79674864110 130109826634 159349728220 231057105919 260219653268 325274566585 462114211838 650549133170 924228423676 1155285529595 1301098266340 2310571059190 4621142118380 6700656071651 13401312143302 26802624286604 33503280358255 67006560716510 134013121433020