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100011200121 = 337900158789
BaseRepresentation
bin101110100100100100…
…0011100111001111001
3100120010221201100221000
41131021020130321321
53114310331400441
6113540003035213
710140241113630
oct1351110347171
9316127640830
10100011200121
11394617959a8
121747166bb09
13957ac31631
144baa738517
1529051ed2b6
hex174921ce79

100011200121 has 32 divisors (see below), whose sum is σ = 169352825600. Its totient is φ = 57141936000.

The previous prime is 100011200111. The next prime is 100011200123. The reversal of 100011200121 is 121002110001.

It is a happy number.

It is not a de Polignac number, because 100011200121 - 26 = 100011200057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100011200123) 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 31 ways as a sum of consecutive naturals, for example, 1671795 + ... + 1730583.

It is an arithmetic number, because the mean of its divisors is an integer number (5292275800).

Almost surely, 2100011200121 is an apocalyptic number.

It is an amenable number.

100011200121 is a deficient number, since it is larger than the sum of its proper divisors (69341625479).

100011200121 is an equidigital number, since it uses as much as digits as its factorization.

100011200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806 (or 67800 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011200121 its reverse (121002110001), we get a palindrome (221013310122).

The spelling of 100011200121 in words is "one hundred billion, eleven million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 9001 27003 58789 63007 81009 176367 189021 243027 411523 529101 567063 1234569 1587303 1701189 3703707 11111121 529159789 1587479367 3704118523 4762438101 11112355569 14287314303 33337066707 100011200121