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101444301001 = 4711319100791
BaseRepresentation
bin101111001111010001…
…1010011000011001001
3100200211211100102202101
41132132203103003021
53130224220113001
6114334115233401
710220612221411
oct1363643230311
9320754312671
10101444301001
113a02773289a
12177b15a8861
139748acc614
144ca4bc5641
15298ae30a01
hex179e8d30c9

101444301001 has 8 divisors (see below), whose sum is σ = 104519533824. Its totient is φ = 98407270080.

The previous prime is 101444300989. The next prime is 101444301011. The reversal of 101444301001 is 100103444101.

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 101444301001 - 213 = 101444292809 is a prime.

It is a super-3 number, since 3×1014443010013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101444301001.

It is not an unprimeable number, because it can be changed into a prime (101444301011) 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 7 ways as a sum of consecutive naturals, for example, 9545085 + ... + 9555706.

It is an arithmetic number, because the mean of its divisors is an integer number (13064941728).

Almost surely, 2101444301001 is an apocalyptic number.

It is an amenable number.

101444301001 is a deficient number, since it is larger than the sum of its proper divisors (3075232823).

101444301001 is a wasteful number, since it uses less digits than its factorization.

101444301001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100951.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101444301001 its reverse (100103444101), we get a palindrome (201547745102).

The spelling of 101444301001 in words is "one hundred one billion, four hundred forty-four million, three hundred one thousand, one".

Divisors: 1 47 113 5311 19100791 897737177 2158389383 101444301001