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212132311013 = 724329230837
BaseRepresentation
bin1100010110010000010…
…0100010111111100101
3202021112212100221102202
43011210010202333211
511433421332423023
6241241403344245
721216556615100
oct3054404427745
9667485327382
10212132311013
1181a68183017
1235142822085
13170089cb32c
14a3a5501737
1557b862d128
hex3164122fe5

212132311013 has 6 divisors (see below), whose sum is σ = 246766157766. Its totient is φ = 181827695112.

The previous prime is 212132310997. The next prime is 212132311043. The reversal of 212132311013 is 310113231212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 143101054369 + 69031256644 = 378287^2 + 262738^2 .

It is not a de Polignac number, because 212132311013 - 24 = 212132310997 is a prime.

It is a super-2 number, since 2×2121323110132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132311043) 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, 2164615370 + ... + 2164615467.

It is an arithmetic number, because the mean of its divisors is an integer number (41127692961).

Almost surely, 2212132311013 is an apocalyptic number.

It is an amenable number.

212132311013 is a deficient number, since it is larger than the sum of its proper divisors (34633846753).

212132311013 is an equidigital number, since it uses as much as digits as its factorization.

212132311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329230851 (or 4329230844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212132311013 its reverse (310113231212), we get a palindrome (522245542225).

The spelling of 212132311013 in words is "two hundred twelve billion, one hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 7 49 4329230837 30304615859 212132311013