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101893316223 = 3199718428887
BaseRepresentation
bin101111011100101010…
…0001001111001111111
3100202000010020202211210
41132321110021321333
53132134142104343
6114450435215503
710235003616606
oct1367124117177
9322003222753
10101893316223
113a238136656
12178b7a47593
1397bab42cba
144d086a8a3d
1529b5577333
hex17b9509e7f

101893316223 has 16 divisors (see below), whose sum is σ = 144482481920. Its totient is φ = 63690230016.

The previous prime is 101893316171. The next prime is 101893316233. The reversal of 101893316223 is 322613398101.

It is a happy number.

It is not a de Polignac number, because 101893316223 - 213 = 101893308031 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 (101893316233) 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 15 ways as a sum of consecutive naturals, for example, 9208915 + ... + 9219972.

It is an arithmetic number, because the mean of its divisors is an integer number (9030155120).

Almost surely, 2101893316223 is an apocalyptic number.

101893316223 is a deficient number, since it is larger than the sum of its proper divisors (42589165697).

101893316223 is a wasteful number, since it uses less digits than its factorization.

101893316223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429006.

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 101893316223 in words is "one hundred one billion, eight hundred ninety-three million, three hundred sixteen thousand, two hundred twenty-three".

Divisors: 1 3 19 57 97 291 1843 5529 18428887 55286661 350148853 1050446559 1787602039 5362806117 33964438741 101893316223