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213221020132 = 221093701132137
BaseRepresentation
bin1100011010010011110…
…1101001000111100100
3202101100201222002120201
43012210331221013210
511443134040121012
6241541414240244
721255546524131
oct3064475510744
9671321862521
10213221020132
118247678631a
12353a7356084
1317150427a03
14a469d41588
15582ded3857
hex31a4f691e4

213221020132 has 24 divisors (see below), whose sum is σ = 376664654520. Its totient is φ = 105603091200.

The previous prime is 213221020121. The next prime is 213221020169. The reversal of 213221020132 is 231020122312.

213221020132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10014805476 + 203206214656 = 100074^2 + 450784^2 .

It is a super-2 number, since 2×2132210201322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547568 + ... + 1679704.

It is an arithmetic number, because the mean of its divisors is an integer number (15694360605).

Almost surely, 2213221020132 is an apocalyptic number.

It is an amenable number.

213221020132 is a deficient number, since it is larger than the sum of its proper divisors (163443634388).

213221020132 is a wasteful number, since it uses less digits than its factorization.

213221020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135951 (or 135949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213221020132 its reverse (231020122312), we get a palindrome (444241142444).

The spelling of 213221020132 in words is "two hundred thirteen billion, two hundred twenty-one million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 109 218 436 3701 7402 14804 132137 264274 403409 528548 806818 1613636 14402933 28805866 57611732 489039037 978078074 1956156148 53305255033 106610510066 213221020132