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212220311301 = 322953101151897
BaseRepresentation
bin1100010110100101010…
…0001111011100000101
3202021202222221211010200
43011221110033130011
511434111344430201
6241254225441113
721222005611515
oct3055124173405
9667688854120
10212220311301
1182002918a29
12351681a0199
1317020cccccb
14a3b308b845
1557c1212386
hex316950f705

212220311301 has 48 divisors (see below), whose sum is σ = 326295131760. Its totient is φ = 132696345600.

The previous prime is 212220311287. The next prime is 212220311333. The reversal of 212220311301 is 103113022212.

It can be written as a sum of positive squares in 8 ways, for example, as 98753062500 + 113467248801 = 314250^2 + 336849^2 .

It is not a de Polignac number, because 212220311301 - 214 = 212220294917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220311351) 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, 1321185 + ... + 1473081.

It is an arithmetic number, because the mean of its divisors is an integer number (6797815245).

Almost surely, 2212220311301 is an apocalyptic number.

It is an amenable number.

212220311301 is a deficient number, since it is larger than the sum of its proper divisors (114074820459).

212220311301 is a wasteful number, since it uses less digits than its factorization.

212220311301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152086 (or 152083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212220311301 its reverse (103113022212), we get a palindrome (315333333513).

The spelling of 212220311301 in words is "two hundred twelve billion, two hundred twenty million, three hundred eleven thousand, three hundred one".

Divisors: 1 3 9 29 53 87 101 159 261 303 477 909 1537 2929 4611 5353 8787 13833 16059 26361 48177 151897 155237 455691 465711 1367073 1397133 4405013 8050541 13215039 15341597 24151623 39645117 46024791 72454869 138074373 233465689 444906313 700397067 813104641 1334718939 2101191201 2439313923 4004156817 7317941769 23580034589 70740103767 212220311301