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213312430220001 = 372192914323183871
BaseRepresentation
bin110000100000000110101011…
…101000010010001011100001
31000222021110200000201012211120
4300200012223220102023201
5210424402324114020001
62033402213322002453
762634212606203200
oct6040065350221341
91028243600635746
10213312430220001
1161a713258a7632
121bb11465346429
1392043780a0158
143a9653b999237
15199db2c2d8236
hexc201aba122e1

213312430220001 has 96 divisors (see below), whose sum is σ = 360301449830400. Its totient is φ = 111487035623040.

The previous prime is 213312430219951. The next prime is 213312430220033. The reversal of 213312430220001 is 100022034213312.

It is not a de Polignac number, because 213312430220001 - 29 = 213312430219489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213312430220051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1160028096 + ... + 1160211966.

It is an arithmetic number, because the mean of its divisors is an integer number (3753140102400).

Almost surely, 2213312430220001 is an apocalyptic number.

213312430220001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213312430220001 is a deficient number, since it is larger than the sum of its proper divisors (146989019610399).

213312430220001 is a wasteful number, since it uses less digits than its factorization.

213312430220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198259 (or 198252 counting only the distinct ones).

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

Adding to 213312430220001 its reverse (100022034213312), we get a palindrome (313334464433313).

The spelling of 213312430220001 in words is "two hundred thirteen trillion, three hundred twelve billion, four hundred thirty million, two hundred twenty thousand, one".

Divisors: 1 3 7 19 21 29 49 57 87 133 147 203 399 551 609 931 1421 1653 2793 3857 4263 11571 14323 26999 42969 80997 100261 183871 272137 300783 415367 551613 701827 816411 1246101 1287097 1904959 2105481 2907569 3493549 3861291 5332259 5714877 7891973 8722707 9009679 10480647 13334713 15996777 20352983 23675919 24454843 27029037 37325813 40004139 55243811 61058949 73364529 101312921 111977439 165731433 171183901 261280691 303938763 386706677 513551703 709190447 783842073 1160120031 2127571341 2633584333 4964333129 7900752999 14892999387 18435090331 50038102327 55305270993 76373945657 129045632317 150114306981 229121836971 350266716289 387136896951 534617619599 1050800148867 1451104967483 1603852858797 2451867014023 3742323337193 4353314902449 7355601042069 10157734772381 11226970011579 30473204317143 71104143406667 213312430220001