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213513530455320 = 233526471106960727
BaseRepresentation
bin110000100011000001111110…
…001000110011010100011000
31000222222200202001021122110020
4300203001332020303110120
5210441201202244032240
62034034432313550440
762654562220043304
oct6043017610632430
91028880661248406
10213513530455320
1162039641723917
121bb44429415420
13921a316323134
143aa2177c3ad04
1519a3e9c13d0d0
hexc2307e233518

213513530455320 has 128 divisors (see below), whose sum is σ = 640851021388800. Its totient is φ = 56909352439296.

The previous prime is 213513530455319. The next prime is 213513530455399. The reversal of 213513530455320 is 23554035315312.

It is a super-2 number, since 2×2135135304553202 (a number of 29 digits) contains 22 as substring.

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, 3515926797 + ... + 3515987523.

It is an arithmetic number, because the mean of its divisors is an integer number (5006648604600).

Almost surely, 2213513530455320 is an apocalyptic number.

213513530455320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213513530455320 is an abundant number, since it is smaller than the sum of its proper divisors (427337490933480).

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

213513530455320 is a wasteful number, since it uses less digits than its factorization.

213513530455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74457 (or 74453 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 213513530455320 in words is "two hundred thirteen trillion, five hundred thirteen billion, five hundred thirty million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2647 5294 7941 10588 11069 13235 15882 21176 22138 26470 31764 33207 39705 44276 52940 55345 60727 63528 66414 79410 88552 105880 110690 121454 132828 158820 166035 182181 221380 242908 265656 303635 317640 332070 364362 442760 485816 607270 664140 728724 910905 1214540 1328280 1457448 1821810 2429080 3643620 7287240 29299643 58599286 87898929 117198572 146498215 160744369 175797858 234397144 292996430 321488738 351595716 439494645 482233107 585992860 642977476 672187163 703191432 803721845 878989290 964466214 1171985720 1285954952 1344374326 1607443690 1757978580 1928932428 2016561489 2411165535 2688748652 3214887380 3360935815 3515957160 3857864856 4033122978 4822331070 5377497304 6429774760 6721871630 8066245956 9644662140 10082807445 13443743260 16132491912 19289324280 20165614890 26887486520 40331229780 80662459560 1779279420461 3558558840922 5337838261383 7117117681844 8896397102305 10675676522766 14234235363688 17792794204610 21351353045532 26689191306915 35585588409220 42702706091064 53378382613830 71171176818440 106756765227660 213513530455320