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101361865813 = 13883012
BaseRepresentation
bin101111001100110100…
…0110101010001010101
3100200122002020021221021
41132121220311101111
53130042114201223
6114322012321141
710215561433525
oct1363150652125
9320562207837
10101361865813
1139a9514903a
1217789a731b1
1397349c89c0
144c97c87685
152983a9a65d
hex1799a35455

101361865813 has 6 divisors (see below), whose sum is σ = 109160168642. Its totient is φ = 93563739600.

The previous prime is 101361865793. The next prime is 101361865861. The reversal of 101361865813 is 318568163101.

It can be written as a sum of positive squares in 3 ways, for example, as 3541797169 + 97820068644 = 59513^2 + 312762^2 .

It is a de Polignac number, because none of the positive numbers 2k-101361865813 is a prime.

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 101361865813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101361865613) 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 5 ways as a sum of consecutive naturals, for example, 1103763 + ... + 1192063.

Almost surely, 2101361865813 is an apocalyptic number.

101361865813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101361865813 is a deficient number, since it is larger than the sum of its proper divisors (7798302829).

101361865813 is an frugal number, since it uses more digits than its factorization.

101361865813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176615 (or 88314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 101361865813 in words is "one hundred one billion, three hundred sixty-one million, eight hundred sixty-five thousand, eight hundred thirteen".

Divisors: 1 13 88301 1147913 7797066601 101361865813