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132204710331 = 33191033317559
BaseRepresentation
bin111101100100000000…
…0111100100110111011
3110122020120111010122000
41323020000330212323
54131223401212311
6140422313432043
712360104332161
oct1731000744673
9418216433560
10132204710331
1151082126691
122175710b623
13c60b895165
146582211231
15368b6b1056
hex1ec803c9bb

132204710331 has 64 divisors (see below), whose sum is σ = 208825344000. Its totient is φ = 82426338720.

The previous prime is 132204710311. The next prime is 132204710399. The reversal of 132204710331 is 133017402231.

It is a happy number.

132204710331 is a `hidden beast` number, since 1 + 322 + 0 + 4 + 7 + 1 + 0 + 331 = 666.

It is not a de Polignac number, because 132204710331 - 225 = 132171155899 is a prime.

It is a super-2 number, since 2×1322047103312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132204710295 and 132204710304.

It is not an unprimeable number, because it can be changed into a prime (132204710311) 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 in 63 ways as a sum of consecutive naturals, for example, 17485930 + ... + 17493488.

It is an arithmetic number, because the mean of its divisors is an integer number (3262896000).

Almost surely, 2132204710331 is an apocalyptic number.

132204710331 is a deficient number, since it is larger than the sum of its proper divisors (76620633669).

132204710331 is a wasteful number, since it uses less digits than its factorization.

132204710331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 132204710331 in words is "one hundred thirty-two billion, two hundred four million, seven hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 103 171 309 331 513 927 993 1957 2781 2979 5871 6289 7559 8937 17613 18867 22677 34093 52839 56601 68031 102279 143621 169803 204093 306837 430863 647767 778577 920511 1292589 1943301 2335731 2502029 3877767 5829903 7007193 7506087 14792963 17489709 21021579 22518261 44378889 47538551 67554783 133136667 142615653 257708987 399410001 427846959 773126961 1283540877 2319380883 4896470753 6958142649 14689412259 44068236777 132204710331