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100222201111001 = 1011009983447989
BaseRepresentation
bin10110110010011011001100…
…101100100010000111011001
3111010212011000111220111200112
4112302123030230202013121
5101114020031441023001
6553053235451414105
730052546400340344
oct2662331454420731
9433764014814615
10100222201111001
1129a2aaa68156a2
12b2a7898454335
1343bcbb3b6cc98
141aa6acd66545b
15b8c021d4acbb
hex5b26ccb221d9

100222201111001 has 8 divisors (see below), whose sum is σ = 101314811929800. Its totient is φ = 99131557190400.

The previous prime is 100222201110991. The next prime is 100222201111027. The reversal of 100222201111001 is 100111102222001.

It can be written as a sum of positive squares in 4 ways, for example, as 4831428198601 + 95390772912400 = 2198051^2 + 9766820^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222201111001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100222201111301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491622086 + ... + 491825903.

It is an arithmetic number, because the mean of its divisors is an integer number (12664351491225).

Almost surely, 2100222201111001 is an apocalyptic number.

It is an amenable number.

100222201111001 is a deficient number, since it is larger than the sum of its proper divisors (1092610818799).

100222201111001 is a wasteful number, since it uses less digits than its factorization.

100222201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983449099.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100222201111001 its reverse (100111102222001), we get a palindrome (200333303333002).

The spelling of 100222201111001 in words is "one hundred trillion, two hundred twenty-two billion, two hundred one million, one hundred eleven thousand, one".

Divisors: 1 101 1009 101909 983447989 99328246889 992299020901 100222201111001