Search a number
-
+
220202220202101 = 34291011231753979
BaseRepresentation
bin110010000100010111010011…
…000111010010100001110101
31001212200010102100002012110000
4302010113103013102201311
5212330243121332431401
62100155300424221513
764245041202603024
oct6204272307224165
91055603370065400
10220202220202101
116418826770a255
12208447ba00a899
1395b3c98847827
143c53bb6b7c8bb
151a6ce72257186
hexc845d31d2875

220202220202101 has 80 divisors (see below), whose sum is σ = 343935758073600. Its totient is φ = 140221812528000.

The previous prime is 220202220202021. The next prime is 220202220202109. The reversal of 220202220202101 is 101202022202022.

220202220202101 is a `hidden beast` number, since 220 + 20 + 2 + 220 + 202 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 220202220202101 - 233 = 220193630267509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202220202109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291676530 + ... + 292430508.

It is an arithmetic number, because the mean of its divisors is an integer number (4299196975920).

Almost surely, 2220202220202101 is an apocalyptic number.

It is an amenable number.

220202220202101 is a deficient number, since it is larger than the sum of its proper divisors (123733537871499).

220202220202101 is a wasteful number, since it uses less digits than its factorization.

220202220202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755352 (or 755343 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202220202101 its reverse (101202022202022), we get a palindrome (321404242404123).

The spelling of 220202220202101 in words is "two hundred twenty trillion, two hundred two billion, two hundred twenty million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 27 29 81 87 101 261 303 783 909 1231 2349 2727 2929 3693 8181 8787 11079 26361 33237 35699 79083 99711 107097 124331 237249 321291 372993 753979 963873 1118979 2261937 2891619 3356937 3605599 6785811 10070811 10816797 20357433 21865391 32450391 61072299 65596173 76151879 97351173 196788519 228455637 292053519 590365557 685366911 928148149 1771096671 2056100733 2208404491 2784444447 6168302199 6625213473 8353333341 19875640419 25060000023 26916296321 59626921257 75180000069 80748888963 93742963049 178880763771 242246666889 281228889147 726740000667 843686667441 2180220002001 2531060002323 2718545928421 7593180006969 8155637785263 24466913355789 73400740067367 220202220202101