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132213013130 = 25112137797569
BaseRepresentation
bin111101100100010000…
…0100111101010001010
3110122021011002221221002
41323020200213222022
54131233012410010
6140423211415002
712360235032452
oct1731040475212
9418234087832
10132213013130
1151086887700
1221759a54462
13c610511363
146583372d62
15368c2a11a5
hex1ec8827a8a

132213013130 has 48 divisors (see below), whose sum is σ = 263494796040. Its totient is φ = 47726469120.

The previous prime is 132213013099. The next prime is 132213013133. The reversal of 132213013130 is 31310312231.

It can be written as a sum of positive squares in 4 ways, for example, as 129867257641 + 2345755489 = 360371^2 + 48433^2 .

It is a super-3 number, since 3×1322130131303 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132213013133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233015 + ... + 564554.

Almost surely, 2132213013130 is an apocalyptic number.

132213013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132213013130 is a deficient number, since it is larger than the sum of its proper divisors (131281782910).

132213013130 is a wasteful number, since it uses less digits than its factorization.

132213013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797735 (or 797724 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 132213013130 its reverse (31310312231), we get a palindrome (163523325361).

The spelling of 132213013130 in words is "one hundred thirty-two billion, two hundred thirteen million, thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 121 137 242 274 605 685 1210 1370 1507 3014 7535 15070 16577 33154 82885 165770 797569 1595138 3987845 7975690 8773259 17546518 43866295 87732590 96505849 109266953 193011698 218533906 482529245 546334765 965058490 1092669530 1201936483 2403872966 6009682415 12019364830 13221301313 26442602626 66106506565 132213013130