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100990100001 = 3721013678191
BaseRepresentation
bin101111000001101111…
…0101010001000100001
3100122200011200122010010
41132003132222020201
53123311431200001
6114221052155133
710203425454300
oct1360336521041
9318604618103
10100990100001
113991430796a
12176a5468aa9
1396a599172b
144c60752437
1529611128d6
hex17837aa221

100990100001 has 24 divisors (see below), whose sum is σ = 156792564864. Its totient is φ = 57651575520.

The previous prime is 100990099997. The next prime is 100990100009. The reversal of 100990100001 is 100001099001.

It is not a de Polignac number, because 100990100001 - 22 = 100990099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100990100009) 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 23 ways as a sum of consecutive naturals, for example, 190185 + ... + 488006.

It is an arithmetic number, because the mean of its divisors is an integer number (6533023536).

Almost surely, 2100990100001 is an apocalyptic number.

It is an amenable number.

100990100001 is a deficient number, since it is larger than the sum of its proper divisors (55802464863).

100990100001 is a wasteful number, since it uses less digits than its factorization.

100990100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679221 (or 679214 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 100990100001 its reverse (100001099001), we get a palindrome (200991199002).

The spelling of 100990100001 in words is "one hundred billion, nine hundred ninety million, one hundred thousand, one".

Divisors: 1 3 7 21 49 147 1013 3039 7091 21273 49637 148911 678191 2034573 4747337 14242011 33231359 99694077 687007483 2061022449 4809052381 14427157143 33663366667 100990100001