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120213210101101 = 1324178797220177
BaseRepresentation
bin11011010101010101010001…
…101011110111010101101101
3120202122021022022012101102121
4123111111101223313111231
5111224033123241213401
61103401104125152541
734215055261143355
oct3325252153672555
9522567268171377
10120213210101101
1135338155171937
12115961609bb751
135210098500700
1421984c976bb65
15dd704c6cdca1
hex6d5551af756d

120213210101101 has 24 divisors (see below), whose sum is σ = 133348918334184. Its totient is φ = 108257685719040.

The previous prime is 120213210101099. The next prime is 120213210101143. The reversal of 120213210101101 is 101101012312021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 78589732057225 + 41623478043876 = 8865085^2 + 6451626^2 .

It is not a de Polignac number, because 120213210101101 - 21 = 120213210101099 is a prime.

It is a super-2 number, since 2×1202132101011012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213010101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545874325 + ... + 546094501.

It is an arithmetic number, because the mean of its divisors is an integer number (5556204930591).

Almost surely, 2120213210101101 is an apocalyptic number.

It is an amenable number.

120213210101101 is a deficient number, since it is larger than the sum of its proper divisors (13135708233083).

120213210101101 is a wasteful number, since it uses less digits than its factorization.

120213210101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299041 (or 299028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 120213210101101 its reverse (101101012312021), we get a palindrome (221314222413122).

The spelling of 120213210101101 in words is "one hundred twenty trillion, two hundred thirteen billion, two hundred ten million, one hundred one thousand, one hundred one".

Divisors: 1 13 41 169 533 6929 78797 220177 1024361 2862301 3230677 9027257 13316693 37209913 41998801 117354341 545984413 1525606433 17349287069 225540731897 711320769829 2932029514661 9247170007777 120213210101101