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2100220202221 = 41349146776169
BaseRepresentation
bin11110100011111110111…
…000010000110011101101
321102210000221211121212121
4132203332320100303231
5233402222332432341
64244454451432541
7304510262111401
oct36437670206355
97383027747777
102100220202221
1173a775608099
1229b0535b5751
1312308588258b
1473918c71101
15399717124d1
hex1e8fee10ced

2100220202221 has 8 divisors (see below), whose sum is σ = 2157609699000. Its totient is φ = 2043124258560.

The previous prime is 2100220202203. The next prime is 2100220202287. The reversal of 2100220202221 is 1222020220012.

It can be written as a sum of positive squares in 4 ways, for example, as 674311957225 + 1425908244996 = 821165^2 + 1194114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100220202221 - 225 = 2100186647789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100220202195 and 2100220202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100220202291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73373776 + ... + 73402393.

It is an arithmetic number, because the mean of its divisors is an integer number (269701212375).

Almost surely, 22100220202221 is an apocalyptic number.

It is an amenable number.

2100220202221 is a deficient number, since it is larger than the sum of its proper divisors (57389496779).

2100220202221 is a wasteful number, since it uses less digits than its factorization.

2100220202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146776559.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100220202221 its reverse (1222020220012), we get a palindrome (3322240422233).

The spelling of 2100220202221 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 41 349 14309 146776169 6017822929 51224882981 2100220202221