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21212112132 = 2232589225337
BaseRepresentation
bin10011110000010101…
…110010010100000100
32000202022022221111200
4103300111302110010
5321420300042012
613424505102500
71350440656341
oct236025622404
960668287450
1021212112132
118aa5758892
12413ba87a30
132000850153
1410532897c8
1584239a3dc
hex4f0572504

21212112132 has 18 divisors (see below), whose sum is σ = 53619505758. Its totient is φ = 7070704032.

The previous prime is 21212112121. The next prime is 21212112139. The reversal of 21212112132 is 23121121212.

It can be written as a sum of positive squares in only one way, i.e., 17083535616 + 4128576516 = 130704^2 + 64254^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×212121121322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21212112139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294612633 + ... + 294612704.

It is an arithmetic number, because the mean of its divisors is an integer number (2978861431).

Almost surely, 221212112132 is an apocalyptic number.

It is an amenable number.

21212112132 is an abundant number, since it is smaller than the sum of its proper divisors (32407393626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21212112132 is a wasteful number, since it uses less digits than its factorization.

21212112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589225347 (or 589225342 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21212112132 its reverse (23121121212), we get a palindrome (44333233344).

The spelling of 21212112132 in words is "twenty-one billion, two hundred twelve million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 589225337 1178450674 1767676011 2356901348 3535352022 5303028033 7070704044 10606056066 21212112132