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220231020021201 = 327109257293425903
BaseRepresentation
bin110010000100110010000111…
…101101111000010111010001
31001212202212202110000121010200
4302010302013231320113101
5212331231112111134301
62100220422304245413
764250110660201140
oct6204620755702721
91055685673017120
10220231020021201
11641994a6433642
122084a2b7010869
1395b6908383cc7
143c55349a4b757
151a6daaa80bc86
hexc84c87b785d1

220231020021201 has 96 divisors (see below), whose sum is σ = 369576867179520. Its totient is φ = 123782358269952.

The previous prime is 220231020021139. The next prime is 220231020021223. The reversal of 220231020021201 is 102120020132022.

220231020021201 is a `hidden beast` number, since 2 + 20 + 231 + 0 + 200 + 212 + 0 + 1 = 666.

It is not a de Polignac number, because 220231020021201 - 210 = 220231020020177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220231020022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516879016 + ... + 517304918.

It is an arithmetic number, because the mean of its divisors is an integer number (3849759033120).

Almost surely, 2220231020021201 is an apocalyptic number.

220231020021201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220231020021201 is a deficient number, since it is larger than the sum of its proper divisors (149345847158319).

220231020021201 is a wasteful number, since it uses less digits than its factorization.

220231020021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426575 (or 426572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220231020021201 its reverse (102120020132022), we get a palindrome (322351040153223).

The spelling of 220231020021201 in words is "two hundred twenty trillion, two hundred thirty-one billion, twenty million, twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 63 109 257 293 327 763 771 879 981 1799 2051 2289 2313 2637 5397 6153 6867 16191 18459 28013 31937 75301 84039 95811 196091 223559 225903 252117 287433 425903 527107 588273 670677 677709 1277709 1581321 1764819 2012031 2981321 3833127 4743963 8207809 8943963 24623427 26831889 46423427 57454663 73870281 109457071 124789579 139270281 172363989 324963989 328371213 374368737 417810843 517091967 766199497 873527053 974891967 985113639 1123106211 2298598491 2620581159 2924675901 6895795473 7861743477 11930820739 13602064111 32070921803 35792462217 40806192333 83515745173 95214448777 96212765409 107377386651 122418576999 224496452621 250547235519 285643346331 288638296227 673489357863 751641706557 856930038993 2020468073589 3495730476527 10487191429581 24470113335689 31461574288743 73410340007067 220231020021201