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73301000131 = 349665931541
BaseRepresentation
bin100010001000100010…
…1000111111111000011
321000012110202121202201
41010101011013333003
52200110024001011
653401330454031
75203316135512
oct1042105077703
9230173677681
1073301000131
11290a555a357
1212258434317
136bb22b9c78
1437951b2679
151d9030ecc1
hex1111147fc3

73301000131 has 8 divisors (see below), whose sum is σ = 73524402000. Its totient is φ = 73077675360.

The previous prime is 73301000117. The next prime is 73301000141. The reversal of 73301000131 is 13100010337.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73301000131 - 211 = 73300998083 is a prime.

It is a super-2 number, since 2×733010001312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73301000099 and 73301000108.

It is not an unprimeable number, because it can be changed into a prime (73301000141) 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 7 ways as a sum of consecutive naturals, for example, 2308221 + ... + 2339761.

It is an arithmetic number, because the mean of its divisors is an integer number (9190550250).

Almost surely, 273301000131 is an apocalyptic number.

73301000131 is a deficient number, since it is larger than the sum of its proper divisors (223401869).

73301000131 is a wasteful number, since it uses less digits than its factorization.

73301000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38549.

The product of its (nonzero) digits is 189, while the sum is 19.

Adding to 73301000131 its reverse (13100010337), we get a palindrome (86401010468).

The spelling of 73301000131 in words is "seventy-three billion, three hundred one million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 349 6659 31541 2323991 11007809 210031519 73301000131