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10022200202001 = 31317131591148753
BaseRepresentation
bin1001000111010111100110…
…1011101101001100010001
31022111010001100211100211010
42101311321223231030101
52303200431222431001
633152045112241133
72053036315061301
oct221657153551421
938433040740733
1010022200202001
1132144338103a9
12115a4526a01a9
13579121605720
14269111705601
15125a78e1a8d6
hex91d79aed311

10022200202001 has 32 divisors (see below), whose sum is σ = 15238543461120. Its totient is φ = 5804267065344.

The previous prime is 10022200201969. The next prime is 10022200202011. The reversal of 10022200202001 is 10020200222001.

It is not a de Polignac number, because 10022200202001 - 25 = 10022200201969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022200202011) 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 31 ways as a sum of consecutive naturals, for example, 8150041 + ... + 9298793.

It is an arithmetic number, because the mean of its divisors is an integer number (476204483160).

Almost surely, 210022200202001 is an apocalyptic number.

It is an amenable number.

10022200202001 is a deficient number, since it is larger than the sum of its proper divisors (5216343259119).

10022200202001 is a wasteful number, since it uses less digits than its factorization.

10022200202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161945.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022200202001 its reverse (10020200222001), we get a palindrome (20042400424002).

The spelling of 10022200202001 in words is "ten trillion, twenty-two billion, two hundred million, two hundred two thousand, one".

Divisors: 1 3 13 17 39 51 221 663 13159 39477 171067 223703 513201 671109 1148753 2908139 3446259 8724417 14933789 19528801 44801367 58586403 253874413 761623239 15116440727 45349322181 196513729451 256979492359 589541188353 770938477077 3340733400667 10022200202001