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210021200010020 = 22572214307346949
BaseRepresentation
bin101111110000001101011111…
…000001011001101100100100
31000112121211102112102101221002
4233300031133001121230210
5210011441404200310040
62022402223552212432
762144350060045400
oct5760153701315444
91015554375371832
10210021200010020
1160a12544189703
121b67b622b3a118
139025bb65bac19
1439c111a56c100
15194320028ba15
hexbf035f059b24

210021200010020 has 36 divisors (see below), whose sum is σ = 513051788598300. Its totient is φ = 72007268574528.

The previous prime is 210021200009953. The next prime is 210021200010047. The reversal of 210021200010020 is 20010002120012.

It is a happy number.

210021200010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42047365547236 + 167973834462784 = 6484394^2 + 12960472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210021200009983 and 210021200010010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107153672495 + ... + 107153674454.

It is an arithmetic number, because the mean of its divisors is an integer number (14251438572175).

Almost surely, 2210021200010020 is an apocalyptic number.

210021200010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021200010020 is an abundant number, since it is smaller than the sum of its proper divisors (303030588588280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210021200010020 is a wasteful number, since it uses less digits than its factorization.

210021200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214307346972 (or 214307346963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210021200010020 its reverse (20010002120012), we get a palindrome (230031202130032).

The spelling of 210021200010020 in words is "two hundred ten trillion, twenty-one billion, two hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 214307346949 428614693898 857229387796 1071536734745 1500151428643 2143073469490 3000302857286 4286146938980 6000605714572 7500757143215 10501060000501 15001514286430 21002120001002 30003028572860 42004240002004 52505300002505 105010600005010 210021200010020