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20330012020221 = 32172953591465279
BaseRepresentation
bin1001001111101011100110…
…01001010000110111111101
32122222112022111022010102100
410213311303021100313331
510131041331034121341
6111123251213015313
74165536435635421
oct447656311206775
978875274263370
1020330012020221
116528a00868332
122344113a84539
13b4615bb25997
14503d99256b81
15253c6c2453b6
hex127d73250dfd

20330012020221 has 96 divisors (see below), whose sum is σ = 33327500544000. Its totient is φ = 11879020468224.

The previous prime is 20330012020117. The next prime is 20330012020223. The reversal of 20330012020221 is 12202021003302.

20330012020221 is a `hidden beast` number, since 2 + 0 + 3 + 300 + 120 + 20 + 221 = 666.

It is not a de Polignac number, because 20330012020221 - 213 = 20330012012029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20330012020194 and 20330012020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330012020223) 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, 13141860 + ... + 14607138.

It is an arithmetic number, because the mean of its divisors is an integer number (347161464000).

Almost surely, 220330012020221 is an apocalyptic number.

It is an amenable number.

20330012020221 is a deficient number, since it is larger than the sum of its proper divisors (12997488523779).

20330012020221 is a wasteful number, since it uses less digits than its factorization.

20330012020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465443 (or 1465440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20330012020221 its reverse (12202021003302), we get a palindrome (32532033023523).

The spelling of 20330012020221 in words is "twenty trillion, three hundred thirty billion, twelve million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 29 51 53 59 87 153 159 177 261 477 493 531 901 1003 1479 1537 1711 2703 3009 3127 4437 4611 5133 8109 9027 9381 13833 15399 26129 28143 29087 53159 78387 87261 90683 159477 235161 261783 272049 478431 816147 1465279 1541611 4395837 4624833 13187511 13874499 24909743 42493091 74729229 77659787 86451461 127479273 224187687 232979361 259354383 382437819 698938083 722382547 778063149 1320216379 1469674837 2167147641 2252133823 2507092369 3960649137 4409024511 4581927433 6501442923 6756401469 7521277107 11881947411 13227073533 13745782299 20269204407 22563831321 38286274991 41237346897 42620570273 77892766361 114858824973 127861710819 132875895557 233678299083 344576474919 383585132457 398627686671 701034897249 1195883060013 2258890224469 6776670673407 20330012020221