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22002100110001 = 1116216481190391
BaseRepresentation
bin1010000000010110000110…
…10111001000001010110001
32212220101021012000222221201
411000023003113020022301
510340440300112010001
6114443343015451201
74430412360122434
oct500130327101261
985811235028851
1022002100110001
117013046a11620
1225741a2986b01
13c37a3497403b
14560c9b9c581b
152824d23ed501
hex1402c35c82b1

22002100110001 has 16 divisors (see below), whose sum is σ = 24020930054016. Its totient is φ = 19986380640000.

The previous prime is 22002100109959. The next prime is 22002100110017. The reversal of 22002100110001 is 10001100120022.

It is a cyclic number.

It is not a de Polignac number, because 22002100110001 - 225 = 22002066555569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22002100110001.

It is not an unprimeable number, because it can be changed into a prime (22002100110101) 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 15 ways as a sum of consecutive naturals, for example, 115467516 + ... + 115657906.

It is an arithmetic number, because the mean of its divisors is an integer number (1501308128376).

Almost surely, 222002100110001 is an apocalyptic number.

It is an amenable number.

22002100110001 is a deficient number, since it is larger than the sum of its proper divisors (2018829944015).

22002100110001 is a wasteful number, since it uses less digits than its factorization.

22002100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198504.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22002100110001 its reverse (10001100120022), we get a palindrome (32003200230023).

The spelling of 22002100110001 in words is "twenty-two trillion, two billion, one hundred million, one hundred ten thousand, one".

Divisors: 1 11 1621 6481 17831 71291 190391 2094301 10505701 115562711 308623811 1233924071 3394861921 13573164781 2000190919091 22002100110001