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202023002011221 = 3615131714474001
BaseRepresentation
bin101101111011110100100101…
…010001010111011001010101
3222111022012200100211011000000
4231323310211101113121111
5202434421102003324341
61553400030315241513
760360452214560016
oct5573644521273125
9874265610734000
10202023002011221
11594095239a7666
121a7a94b2749299
1388958c2137981
1437c5d7336700d
1518551366278b6
hexb7bd25457655

202023002011221 has 112 divisors (see below), whose sum is σ = 306151587710208. Its totient is φ = 133242537600000.

The previous prime is 202023002011219. The next prime is 202023002011297. The reversal of 202023002011221 is 122110200320202.

202023002011221 is a `hidden beast` number, since 20 + 20 + 2 + 300 + 201 + 122 + 1 = 666.

It is not a de Polignac number, because 202023002011221 - 21 = 202023002011219 is a prime.

It is a super-2 number, since 2×2020230020112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202023002011194 and 202023002011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202023002011321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50493125221 + ... + 50493129221.

Almost surely, 2202023002011221 is an apocalyptic number.

It is an amenable number.

202023002011221 is a deficient number, since it is larger than the sum of its proper divisors (104128585698987).

202023002011221 is a wasteful number, since it uses less digits than its factorization.

202023002011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5919 counting only the distinct ones).

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

Adding to 202023002011221 its reverse (122110200320202), we get a palindrome (324133202331423).

The spelling of 202023002011221 in words is "two hundred two trillion, twenty-three billion, two million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 151 243 317 453 729 951 1359 1447 2853 4001 4077 4341 8559 12003 12231 13023 25677 36009 36693 39069 47867 77031 108027 110079 117207 143601 218497 231093 324081 351621 430803 458699 604151 655491 972243 1054863 1268317 1292409 1376097 1812453 1966473 2916729 3804951 3877227 4128291 5437359 5789447 5899419 11414853 11631681 12384873 16312077 17368341 17698257 34244559 34895043 37154619 48936231 52105023 53094771 69263549 102733677 111463857 146808693 156315069 159284313 191515867 207790647 308201031 334391571 440426079 468945207 574547601 623371941 874206497 924603093 1406835621 1723642803 1835254699 1870115823 2622619491 4220506863 5170928409 5505764097 5610347469 7867858473 15512785227 16517292291 16831042407 23603575419 46538355681 49551876873 50493127221 70810726257 139615067043 148655630619 212432178771 277123459549 445966891857 637296536313 831370378647 1337900675571 2494111135941 7482333407823 22447000223469 67341000670407 202023002011221