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132213010093 is a prime number
BaseRepresentation
bin111101100100010000…
…0100110111010101101
3110122021011002210202121
41323020200212322231
54131233012310333
6140423211352541
712360235020553
oct1731040467255
9418234083677
10132213010093
115108688539a
1221759a52751
13c61050cb68
146583371bd3
15368c2a032d
hex1ec8826ead

132213010093 has 2 divisors, whose sum is σ = 132213010094. Its totient is φ = 132213010092.

The previous prime is 132213010087. The next prime is 132213010213. The reversal of 132213010093 is 390010312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77973860644 + 54239149449 = 279238^2 + 232893^2 .

It is a cyclic number.

It is not a de Polignac number, because 132213010093 - 29 = 132213009581 is a prime.

It is a super-3 number, since 3×1322130100933 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132213010393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66106505046 + 66106505047.

It is an arithmetic number, because the mean of its divisors is an integer number (66106505047).

Almost surely, 2132213010093 is an apocalyptic number.

It is an amenable number.

132213010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

132213010093 is an equidigital number, since it uses as much as digits as its factorization.

132213010093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 132213010093 in words is "one hundred thirty-two billion, two hundred thirteen million, ten thousand, ninety-three".