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210021220021221 = 32717238526010637
BaseRepresentation
bin101111110000001101100000…
…001101101111001111100101
31000112121211110221002002010200
4233300031200031233033211
5210011441424311134341
62022402225545141113
762144350422122160
oct5760154015571745
91015554427062120
10210021220021221
1160a12554507394
121b67b62978a799
139025bba7a647b
1439c111d09aad7
151943201de0db6
hexbf036036f3e5

210021220021221 has 48 divisors (see below), whose sum is σ = 383056605944064. Its totient is φ = 108041606779392.

The previous prime is 210021220021127. The next prime is 210021220021253. The reversal of 210021220021221 is 122120022120012.

It is a happy number.

210021220021221 is a `hidden beast` number, since 2 + 10 + 0 + 212 + 200 + 21 + 221 = 666.

It is not a de Polignac number, because 210021220021221 - 214 = 210021220004837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210021220021194 and 210021220021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021220001221) 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, 4262980686 + ... + 4263029951.

It is an arithmetic number, because the mean of its divisors is an integer number (7980345957168).

Almost surely, 2210021220021221 is an apocalyptic number.

210021220021221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210021220021221 is a deficient number, since it is larger than the sum of its proper divisors (173035385922843).

210021220021221 is a wasteful number, since it uses less digits than its factorization.

210021220021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526010690 (or 8526010687 counting only the distinct ones).

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

Adding to 210021220021221 its reverse (122120022120012), we get a palindrome (332141242141233).

The spelling of 210021220021221 in words is "two hundred ten trillion, twenty-one billion, two hundred twenty million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 23 51 63 69 119 153 161 207 357 391 483 1071 1173 1449 2737 3519 8211 24633 8526010637 25578031911 59682074459 76734095733 144942180829 179046223377 196098244651 434826542487 537138670131 588294733953 1014595265803 1304479627461 1372687712557 1764884201859 3043785797409 3333670159067 4118063137671 9131357392227 10001010477201 12354189413013 23335691113469 30003031431603 70007073340407 210021220021221