Search a number
-
+
210021122220221 = 131719139712532763
BaseRepresentation
bin101111110000001101011010…
…011000101010000010111101
31000112121211020010001021101102
4233300031122120222002331
5210011441224242021341
62022402212133022445
762144345123616104
oct5760153230520275
91015554203037342
10210021122220221
1160a12504288014
121b67b600a84a25
139025ba3452860
1439c11100bd03b
1519431e8522c9b
hexbf035a62a0bd

210021122220221 has 32 divisors (see below), whose sum is σ = 241341330843648. Its totient is φ = 181049282472960.

The previous prime is 210021122220157. The next prime is 210021122220227. The reversal of 210021122220221 is 122022221120012.

210021122220221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 210021122220221 - 26 = 210021122220157 is a prime.

It is a super-4 number, since 4×2100211222202214 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210021122220193 and 210021122220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021122220227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10491386 + ... + 23024148.

It is an arithmetic number, because the mean of its divisors is an integer number (7541916588864).

Almost surely, 2210021122220221 is an apocalyptic number.

It is an amenable number.

210021122220221 is a deficient number, since it is larger than the sum of its proper divisors (31320208623427).

210021122220221 is a wasteful number, since it uses less digits than its factorization.

210021122220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533381.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 210021122220221 its reverse (122022221120012), we get a palindrome (332043343340233).

The spelling of 210021122220221 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 17 191 221 397 2483 3247 5161 6749 42211 75827 87737 985751 1289059 12532763 16757767 162925919 213056971 2393757733 2769740623 4975506911 31118850529 40693881461 64681589843 84583617487 529020458993 950321820001 1099587027331 12354183660013 16155470940017 210021122220221