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100261355013 = 333713383519
BaseRepresentation
bin101110101100000001…
…0101101111000000101
3100120210101102112221000
41131120002231320011
53120313401330023
6114020500443513
710146366312321
oct1353002557005
9316711375830
10100261355013
113957aa14a86
12175213a9599
1395ba9c9691
144bd1a54981
15291c163243
hex17580ade05

100261355013 has 8 divisors (see below), whose sum is σ = 148535340800. Its totient is φ = 66840903324.

The previous prime is 100261355011. The next prime is 100261355057. The reversal of 100261355013 is 310553162001.

100261355013 is a `hidden beast` number, since 1 + 0 + 0 + 26 + 135 + 501 + 3 = 666.

It is not a de Polignac number, because 100261355013 - 21 = 100261355011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3713383519 = 100261355013 / (1 + 0 + 0 + 2 + 6 + 1 + 3 + 5 + 5 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100261355011) 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 7 ways as a sum of consecutive naturals, for example, 1856691733 + ... + 1856691786.

It is an arithmetic number, because the mean of its divisors is an integer number (18566917600).

Almost surely, 2100261355013 is an apocalyptic number.

It is an amenable number.

100261355013 is a deficient number, since it is larger than the sum of its proper divisors (48273985787).

100261355013 is an equidigital number, since it uses as much as digits as its factorization.

100261355013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713383528 (or 3713383522 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 100261355013 in words is "one hundred billion, two hundred sixty-one million, three hundred fifty-five thousand, thirteen".

Divisors: 1 3 9 27 3713383519 11140150557 33420451671 100261355013