Search a number
-
+
220220202210021 = 32134015297886129
BaseRepresentation
bin110010000100101000000010…
…111011001101001011100101
31001212201211211112101211222100
4302010220002323031023211
5212331041433231210041
62100211433025122313
764246245622261056
oct6204500273151345
91055654745354870
10220220202210021
1164194955022a22
1220848198189399
1395b58a31188c0
143c54a0104472d
151a6d675c596b6
hexc84a02ecd2e5

220220202210021 has 48 divisors (see below), whose sum is σ = 343484255565360. Its totient is φ = 135156495974400.

The previous prime is 220220202210017. The next prime is 220220202210083. The reversal of 220220202210021 is 120012202022022.

220220202210021 is a `hidden beast` number, since 220 + 2 + 202 + 0 + 221 + 0 + 0 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3000651953121 + 217219550256900 = 1732239^2 + 14738370^2 .

It is not a de Polignac number, because 220220202210021 - 22 = 220220202210017 is a prime.

It is a super-2 number, since 2×2202202022100212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220220202209976 and 220220202210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220202210011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248076285 + ... + 248962413.

It is an arithmetic number, because the mean of its divisors is an integer number (7155921990945).

Almost surely, 2220220202210021 is an apocalyptic number.

It is an amenable number.

220220202210021 is a deficient number, since it is larger than the sum of its proper divisors (123264053355339).

220220202210021 is a wasteful number, since it uses less digits than its factorization.

220220202210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891846 (or 891843 counting only the distinct ones).

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

Adding to 220220202210021 its reverse (120012202022022), we get a palindrome (340232404232043).

The spelling of 220220202210021 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred two million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 13 39 117 401 1203 3609 5213 5297 15639 15891 46917 47673 68861 206583 619749 886129 2124097 2658387 6372291 7975161 11519677 19116873 27613261 34559031 82839783 103677093 248519349 355337729 1066013187 3198039561 4619390477 4693825313 13858171431 14081475939 41574514293 42244427817 61019729069 183059187207 549177561621 1882223950513 5646671851539 16940015554617 24468911356669 73406734070007 220220202210021