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1210101021 = 3217371811181
BaseRepresentation
bin100100000100000…
…1010110100011101
310010100000111112100
41020020022310131
54434241213041
6320024355313
741662455213
oct11010126435
93110014470
101210101021
11571085898
12299315b39
1316392000c
14b69dccb3
15713836b6
hex4820ad1d

1210101021 has 48 divisors (see below), whose sum is σ = 1912882608. Its totient is φ = 734054400.

The previous prime is 1210101007. The next prime is 1210101031. The reversal of 1210101021 is 1201010121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93605625 + 1116495396 = 9675^2 + 33414^2 .

It is not a de Polignac number, because 1210101021 - 25 = 1210100989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1210100994 and 1210101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210101031) 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, 1024051 + ... + 1025231.

It is an arithmetic number, because the mean of its divisors is an integer number (39851721).

Almost surely, 21210101021 is an apocalyptic number.

It is an amenable number.

1210101021 is a deficient number, since it is larger than the sum of its proper divisors (702781587).

1210101021 is a wasteful number, since it uses less digits than its factorization.

1210101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1210101021 is about 34786.5063063252. The cubic root of 1210101021 is about 1065.6318910939.

Adding to 1210101021 its reverse (1201010121), we get a palindrome (2411111142).

The spelling of 1210101021 in words is "one billion, two hundred ten million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 17 37 51 111 153 181 333 543 629 1181 1629 1887 3077 3543 5661 6697 9231 10629 20077 20091 27693 43697 60231 60273 113849 131091 180693 213761 341547 393273 641283 742849 1024641 1923849 2228547 3633937 6685641 7909157 10901811 23727471 32705433 71182413 134455669 403367007 1210101021