Search a number
-
+
100011101019 = 3311075388183
BaseRepresentation
bin101110100100100100…
…0000100101101011011
3100120010221112022222120
41131021020010231123
53114310320213034
6113540000552323
710140240221664
oct1351110045533
9316127468876
10100011101019
11394617284a5
12174716226a3
13957abc84ab
144baa71036b
1529051cdc49
hex1749204b5b

100011101019 has 8 divisors (see below), whose sum is σ = 137649687552. Its totient is φ = 64523290920.

The previous prime is 100011100979. The next prime is 100011101039. The reversal of 100011101019 is 910101110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-100011101019 is a prime.

It is a super-2 number, since 2×1000111010192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011100989 and 100011101007.

It is not an unprimeable number, because it can be changed into a prime (100011101039) 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, 537693999 + ... + 537694184.

It is an arithmetic number, because the mean of its divisors is an integer number (17206210944).

Almost surely, 2100011101019 is an apocalyptic number.

100011101019 is a deficient number, since it is larger than the sum of its proper divisors (37638586533).

100011101019 is a wasteful number, since it uses less digits than its factorization.

100011101019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075388217.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100011101019 in words is "one hundred billion, eleven million, one hundred one thousand, nineteen".

Divisors: 1 3 31 93 1075388183 3226164549 33337033673 100011101019