Search a number
-
+
220201210120203 = 32138942434983917
BaseRepresentation
bin110010000100010110010110…
…111010001000100000001011
31001212200000210221102201120100
4302010112112322020200023
5212330234034242321303
62100155012302500443
764245004156211604
oct6204262672104013
91055600727381510
10220201210120203
116418789952a824
1220844577894723
1395b3b674ba730
143c53b1c968dab
151a6ce137338a3
hexc84596e8880b

220201210120203 has 48 divisors (see below), whose sum is σ = 346465632108960. Its totient is φ = 133954265313792.

The previous prime is 220201210120121. The next prime is 220201210120207. The reversal of 220201210120203 is 302021012102022.

220201210120203 is a `hidden beast` number, since 220 + 2 + 0 + 121 + 0 + 120 + 203 = 666.

It is not a de Polignac number, because 220201210120203 - 233 = 220192620185611 is a prime.

It is a super-2 number, since 2×2202012101202032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220201210120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41690401 + ... + 46674317.

It is an arithmetic number, because the mean of its divisors is an integer number (7218034002270).

Almost surely, 2220201210120203 is an apocalyptic number.

220201210120203 is a deficient number, since it is larger than the sum of its proper divisors (126264421988757).

220201210120203 is a wasteful number, since it uses less digits than its factorization.

220201210120203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988268 (or 4988265 counting only the distinct ones).

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

Adding to 220201210120203 its reverse (302021012102022), we get a palindrome (522222222222225).

The spelling of 220201210120203 in words is "two hundred twenty trillion, two hundred one billion, two hundred ten million, one hundred twenty thousand, two hundred three".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3471 4243 10413 12729 38187 55159 165477 377627 496431 1132881 3398643 4909151 4983917 14727453 14951751 44182359 44855253 64790921 194372763 443568613 583118289 1330705839 3992117517 5766391969 17299175907 21146759831 51897527721 63440279493 190320838479 274907877803 824723633409 1882061624959 2474170900227 5646184874877 16938554624631 24466801124467 73400403373401 220201210120203