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210021012121221 = 32729139991821153
BaseRepresentation
bin101111110000001101010011…
…110100101010011010000101
31000112121210221102212122221200
4233300031103310222122011
5210011441013100334341
62022402153201133113
762144342316032550
oct5760152364523205
91015553842778850
10210021012121221
1160a12458119004
121b67b59002a199
139025b866b4412
1439c10dd61d697
1519431dda25db6
hexbf0353d2a685

210021012121221 has 48 divisors (see below), whose sum is σ = 358659571196160. Its totient is φ = 115872693027840.

The previous prime is 210021012121189. The next prime is 210021012121243. The reversal of 210021012121221 is 122121210120012.

210021012121221 is a `hidden beast` number, since 2 + 100 + 210 + 12 + 121 + 221 = 666.

210021012121221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210021012121221 - 25 = 210021012121189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210021012121194 and 210021012121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021012121721) 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, 255352981 + ... + 256174133.

It is an arithmetic number, because the mean of its divisors is an integer number (7472074399920).

Almost surely, 2210021012121221 is an apocalyptic number.

210021012121221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210021012121221 is a deficient number, since it is larger than the sum of its proper divisors (148638559074939).

210021012121221 is a wasteful number, since it uses less digits than its factorization.

210021012121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961186 (or 961183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210021012121221 its reverse (122121210120012), we get a palindrome (332142222241233).

The spelling of 210021012121221 in words is "two hundred ten trillion, twenty-one billion, twelve million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 139991 419973 821153 979937 1259919 2463459 2939811 4059739 5748071 7390377 8819433 12179217 17244213 23813437 28418173 36537651 51732639 71440311 85254519 166694059 214320933 255763557 500082177 1500246531 114954029623 344862088869 804678207361 1034586266607 2414034622083 3333666859067 7242103866249 10001000577201 23335668013469 30003001731603 70007004040407 210021012121221