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133123321017 = 3323478344819
BaseRepresentation
bin111101111111011000…
…1001010110010111001
3110201121121000101121000
41323332301022302321
54140114032233032
6141053410435213
712421630362351
oct1737661126271
9421547011530
10133123321017
115150370a475
1221972892b09
13c726ca678b
14662c213b61
1536e2166e7c
hex1efec4acb9

133123321017 has 32 divisors (see below), whose sum is σ = 205842124800. Its totient is φ = 84870591696.

The previous prime is 133123320997. The next prime is 133123321027. The reversal of 133123321017 is 710123321331.

It is a happy number.

133123321017 is a `hidden beast` number, since 1 + 3 + 312 + 332 + 1 + 0 + 17 = 666.

It is not a de Polignac number, because 133123321017 - 216 = 133123255481 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (133123321027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2947834 + ... + 2992652.

It is an arithmetic number, because the mean of its divisors is an integer number (6432566400).

Almost surely, 2133123321017 is an apocalyptic number.

It is an amenable number.

133123321017 is a deficient number, since it is larger than the sum of its proper divisors (72718803783).

133123321017 is a wasteful number, since it uses less digits than its factorization.

133123321017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49634 (or 49628 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 133123321017 its reverse (710123321331), we get a palindrome (843246642348).

The spelling of 133123321017 in words is "one hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, seventeen".

Divisors: 1 3 9 23 27 69 207 621 4783 14349 43047 44819 110009 129141 134457 330027 403371 990081 1030837 1210113 2970243 3092511 9277533 27832599 214369277 643107831 1929323493 4930493371 5787970479 14791480113 44374440339 133123321017