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201202120120221 = 331117333191179839
BaseRepresentation
bin101101101111111000000100…
…111001011101011110011101
3222101101201211200201102202000
4231233320010321131132131
5202332443420222321341
61551530551123352513
760244242046614213
oct5557700471353635
9871351750642660
10201202120120221
1159122381530110
121a69639ab22739
138836380b8a79c
14379833d954cb3
15183dadee688b6
hexb6fe04e5d79d

201202120120221 has 64 divisors (see below), whose sum is σ = 327153586176000. Its totient is φ = 121199188904640.

The previous prime is 201202120120187. The next prime is 201202120120259. The reversal of 201202120120221 is 122021021202102.

It is a happy number.

201202120120221 is a `hidden beast` number, since 2 + 0 + 1 + 202 + 120 + 120 + 221 = 666.

It is not a de Polignac number, because 201202120120221 - 222 = 201202115925917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201202120120194 and 201202120120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202120120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169943620 + ... + 171123458.

It is an arithmetic number, because the mean of its divisors is an integer number (5111774784000).

Almost surely, 2201202120120221 is an apocalyptic number.

It is an amenable number.

201202120120221 is a deficient number, since it is larger than the sum of its proper divisors (125951466055779).

201202120120221 is a wasteful number, since it uses less digits than its factorization.

201202120120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183351 (or 1183345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201202120120221 its reverse (122021021202102), we get a palindrome (323223141322323).

The spelling of 201202120120221 in words is "two hundred one trillion, two hundred two billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 173 297 519 1557 1903 3319 4671 5709 9957 17127 29871 36509 51381 89613 109527 328581 574187 985743 1179839 1722561 3539517 5167683 6316057 10618551 12978229 15503049 18948171 31855653 38934687 56844513 116804061 170533539 204112147 350412183 612336441 1837009323 2245233617 3915885641 5511027969 6735700851 11747656923 20207102553 35242970769 43074742051 60621307659 105728912307 129224226153 387672678459 677448215893 1163018035377 2032344647679 6097033943037 7451930374823 18291101829111 22355791124469 67067373373407 201202120120221