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101203103001 = 372112132131257
BaseRepresentation
bin101111001000000101…
…1001100110100011001
3100200020000111022022010
41132100023030310121
53124230443244001
6114254141420133
710211623116300
oct1362013146431
9320200438263
10101203103001
1139a13571200
121774486a649
13970ab4c400
144c80b5b437
152974b898d6
hex17902ccd19

101203103001 has 216 divisors, whose sum is σ = 188986688352. Its totient is φ = 47971123200.

The previous prime is 101203102991. The next prime is 101203103009. The reversal of 101203103001 is 100301302101.

It is not a de Polignac number, because 101203103001 - 210 = 101203101977 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203103009) 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 215 ways as a sum of consecutive naturals, for example, 393786265 + ... + 393786521.

It is an arithmetic number, because the mean of its divisors is an integer number (874938372).

Almost surely, 2101203103001 is an apocalyptic number.

101203103001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101203103001 is a deficient number, since it is larger than the sum of its proper divisors (87783585351).

101203103001 is a wasteful number, since it uses less digits than its factorization.

101203103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101203103001 its reverse (100301302101), we get a palindrome (201504405102).

Subtracting from 101203103001 its reverse (100301302101), we obtain a square (901800900 = 300302).

The spelling of 101203103001 in words is "one hundred one billion, two hundred three million, one hundred three thousand, one".