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505105130022000 = 24353269312952373
BaseRepresentation
bin111001011011000111111001…
…1110110010110010001110000
32110020102120121222101020022020
41302312033303312112101300
51012201120301241201000
64550134032055311440
7211251432664234644
oct16266176366262160
92406376558336266
10505105130022000
11136a3a978919932
124879891207b580
13188ac29501ba61
148ca330c2ccc24
153d5de248e5ba0
hex1cb63f3d96470

505105130022000 has 160 divisors (see below), whose sum is σ = 1634512695117120. Its totient is φ = 134193977113600.

The previous prime is 505105130021963. The next prime is 505105130022029. The reversal of 505105130022000 is 220031501505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154862187 + ... + 158090186.

It is an arithmetic number, because the mean of its divisors is an integer number (10215704344482).

Almost surely, 2505105130022000 is an apocalyptic number.

505105130022000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505105130022000 is an abundant number, since it is smaller than the sum of its proper divisors (1129407565095120).

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

505105130022000 is a wasteful number, since it uses less digits than its factorization.

505105130022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312952668 (or 312952652 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 505105130022000 its reverse (220031501505), we get a palindrome (505325161523505).

The spelling of 505105130022000 in words is "five hundred five trillion, one hundred five billion, one hundred thirty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 269 300 375 400 500 538 600 750 807 1000 1076 1200 1345 1500 1614 2000 2152 2690 3000 3228 4035 4304 5380 6000 6456 6725 8070 10760 12912 13450 16140 20175 21520 26900 32280 33625 40350 53800 64560 67250 80700 100875 107600 134500 161400 201750 269000 322800 403500 538000 807000 1614000 312952373 625904746 938857119 1251809492 1564761865 1877714238 2503618984 3129523730 3755428476 4694285595 5007237968 6259047460 7510856952 7823809325 9388571190 12518094920 15021713904 15647618650 18777142380 23471427975 25036189840 31295237300 37554284760 39119046625 46942855950 62590474600 75108569520 78238093250 84184188337 93885711900 117357139875 125180949200 156476186500 168368376674 187771423800 234714279750 252552565011 312952373000 336736753348 375542847600 420920941685 469428559500 505105130022 625904746000 673473506696 841841883370 938857119000 1010210260044 1262762825055 1346947013392 1683683766740 1877714238000 2020420520088 2104604708425 2525525650110 3367367533480 4040841040176 4209209416850 5051051300220 6313814125275 6734735066960 8418418833700 10102102600440 10523023542125 12627628250550 16836837667400 20204205200880 21046047084250 25255256501100 31569070626375 33673675334800 42092094168500 50510513002200 63138141252750 84184188337000 101021026004400 126276282505500 168368376674000 252552565011000 505105130022000