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212221032101 = 1353495762137
BaseRepresentation
bin1100010110100101011…
…0111111011010100101
3202021210001022102212222
43011221112333122211
511434112041011401
6241254253122125
721222015003131
oct3055126773245
9667701272788
10212221032101
1182003270531
1235168489345
13170211c3110
14a3b31d83c1
1557c1305c1b
hex31695bf6a5

212221032101 has 16 divisors (see below), whose sum is σ = 232908634224. Its totient is φ = 192158313984.

The previous prime is 212221032059. The next prime is 212221032109. The reversal of 212221032101 is 101230122212.

It can be written as a sum of positive squares in 8 ways, for example, as 18326119876 + 193894912225 = 135374^2 + 440335^2 .

It is not a de Polignac number, because 212221032101 - 234 = 195041162917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212221032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221032109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3384305 + ... + 3446441.

It is an arithmetic number, because the mean of its divisors is an integer number (14556789639).

Almost surely, 2212221032101 is an apocalyptic number.

It is an amenable number.

212221032101 is a deficient number, since it is larger than the sum of its proper divisors (20687602123).

212221032101 is a wasteful number, since it uses less digits than its factorization.

212221032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67160.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212221032101 its reverse (101230122212), we get a palindrome (313451154313).

The spelling of 212221032101 in words is "two hundred twelve billion, two hundred twenty-one million, thirty-two thousand, one hundred one".

Divisors: 1 13 53 689 4957 62137 64441 262721 807781 3293261 3415373 42812393 308013109 4004170417 16324694777 212221032101