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213022101321320 = 235197229311789473
BaseRepresentation
bin110000011011111000010010…
…101011011011011001101000
31000221020201021111200001001012
4300123320102223123121220
5210410123230414240240
62033021000302043052
762604224153242304
oct6033702253333150
91027221244601035
10213022101321320
116196a1907a2955
121ba8513a879488
1391b2b89a83305
143a86479042d04
1519962d8bbab65
hexc1be12adb668

213022101321320 has 64 divisors (see below), whose sum is σ = 481942850803920. Its totient is φ = 84739329368064.

The previous prime is 213022101321319. The next prime is 213022101321331. The reversal of 213022101321320 is 23123101220312.

213022101321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58798438704196 + 154223662617124 = 7668014^2 + 12418682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12174104 + ... + 23963576.

Almost surely, 2213022101321320 is an apocalyptic number.

213022101321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213022101321320 is an abundant number, since it is smaller than the sum of its proper divisors (268920749482600).

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

213022101321320 is a wasteful number, since it uses less digits than its factorization.

213022101321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791974 (or 11791970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213022101321320 its reverse (23123101220312), we get a palindrome (236145202541632).

The spelling of 213022101321320 in words is "two hundred thirteen trillion, twenty-two billion, one hundred one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 2293 3940 4586 7880 9172 11465 18344 22930 45860 91720 451721 903442 1806884 2258605 3613768 4517210 9034420 11789473 18068840 23578946 47157892 58947365 94315784 117894730 235789460 471578920 2322526181 4645052362 9290104724 11612630905 18580209448 23225261810 27033261589 46450523620 54066523178 92901047240 108133046356 135166307945 216266092712 270332615890 540665231780 1081330463560 5325552533033 10651105066066 21302210132132 26627762665165 42604420264264 53255525330330 106511050660660 213022101321320