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132213001300 = 22521322130013
BaseRepresentation
bin111101100100010000…
…0100100110001010100
3110122021011002100200221
41323020200210301110
54131233012020200
6140423211244124
712360234653122
oct1731040446124
9418234070627
10132213001300
1151086879826
1221759a49644
13c610508b63
14658336c912
15368c29c91a
hex1ec8824c54

132213001300 has 18 divisors (see below), whose sum is σ = 286902213038. Its totient is φ = 52885200480.

The previous prime is 132213001289. The next prime is 132213001369. The reversal of 132213001300 is 3100312231.

It can be written as a sum of positive squares in 3 ways, for example, as 39458644164 + 92754357136 = 198642^2 + 304556^2 .

It is a super-3 number, since 3×1322130013003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661064907 + ... + 661065106.

Almost surely, 2132213001300 is an apocalyptic number.

132213001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213001300 is an abundant number, since it is smaller than the sum of its proper divisors (154689211738).

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

132213001300 is a wasteful number, since it uses less digits than its factorization.

132213001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322130027 (or 1322130020 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132213001300 its reverse (3100312231), we get a palindrome (135313313531).

The spelling of 132213001300 in words is "one hundred thirty-two billion, two hundred thirteen million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1322130013 2644260026 5288520052 6610650065 13221300130 26442600260 33053250325 66106500650 132213001300