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101310020141 = 1141257874063
BaseRepresentation
bin101111001011010001…
…1000011101000101101
3100200111110200021001012
41132112203003220231
53124440331121031
6114312521155005
710214361651131
oct1362643035055
9320443607035
10101310020141
1139a68957680
121777462ba65
1397270454a5
144c9102d3c1
15297e258b2b
hex17968c3a2d

101310020141 has 16 divisors (see below), whose sum is σ = 113656290048. Its totient is φ = 89503948800.

The previous prime is 101310020131. The next prime is 101310020153. The reversal of 101310020141 is 141020013101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101310020141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310020111) 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 15 ways as a sum of consecutive naturals, for example, 321125 + ... + 552938.

It is an arithmetic number, because the mean of its divisors is an integer number (7103518128).

Almost surely, 2101310020141 is an apocalyptic number.

101310020141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101310020141 is a deficient number, since it is larger than the sum of its proper divisors (12346269907).

101310020141 is a wasteful number, since it uses less digits than its factorization.

101310020141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874372.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101310020141 its reverse (141020013101), we get a palindrome (242330033242).

The spelling of 101310020141 in words is "one hundred one billion, three hundred ten million, twenty thousand, one hundred forty-one".

Divisors: 1 11 41 257 451 2827 10537 115907 874063 9614693 35836583 224634191 394202413 2470976101 9210001831 101310020141