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212032320021 = 32171977034681
BaseRepresentation
bin1100010101111000011…
…1000111001000010101
3202021021220012212120200
43011132013013020111
511433220233220041
6241223432251113
721214233661134
oct3053607071025
9667256185520
10212032320021
1181a16798335
1235115240a99
1316cc108b972
14a39611391b
1557ae97b1b6
hex315e1c7215

212032320021 has 24 divisors (see below), whose sum is σ = 325930886424. Its totient is φ = 132364538880.

The previous prime is 212032319963. The next prime is 212032320113. The reversal of 212032320021 is 120023230212.

212032320021 is a `hidden beast` number, since 2 + 120 + 323 + 200 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135089327025 + 76942992996 = 367545^2 + 277386^2 .

It is not a de Polignac number, because 212032320021 - 26 = 212032319957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212032319976 and 212032320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032300021) 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, 3487200 + ... + 3547481.

It is an arithmetic number, because the mean of its divisors is an integer number (13580453601).

Almost surely, 2212032320021 is an apocalyptic number.

It is an amenable number.

212032320021 is a deficient number, since it is larger than the sum of its proper divisors (113898566403).

212032320021 is a wasteful number, since it uses less digits than its factorization.

212032320021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034901 (or 7034898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212032320021 its reverse (120023230212), we get a palindrome (332055550233).

The spelling of 212032320021 in words is "two hundred twelve billion, thirty-two million, three hundred twenty thousand, twenty-one".

Divisors: 1 3 9 17 51 153 197 591 1773 3349 10047 30141 7034681 21104043 63312129 119589577 358768731 1076306193 1385832157 4157496471 12472489413 23559146669 70677440007 212032320021