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10220002222221 = 341111779973789
BaseRepresentation
bin1001010010111000011110…
…0110100010000010001101
31100012000121112020002220000
42110232013212202002031
52314421031032102341
633423000524114513
72103241116362061
oct224560746420215
940160545202800
1010220002222221
113290307901890
121190856095a39
1359198544c93c
14274917913aa1
1512aca44218b6
hex94b879a208d

10220002222221 has 40 divisors (see below), whose sum is σ = 16656249482400. Its totient is φ = 6193408534560.

The previous prime is 10220002222217. The next prime is 10220002222229. The reversal of 10220002222221 is 12222220002201.

10220002222221 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 0 + 2 + 222 + 221 = 666.

It is not a de Polignac number, because 10220002222221 - 22 = 10220002222217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220002222194 and 10220002222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220002222229) 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 39 ways as a sum of consecutive naturals, for example, 10008195 + ... + 10981983.

It is an arithmetic number, because the mean of its divisors is an integer number (416406237060).

Almost surely, 210220002222221 is an apocalyptic number.

10220002222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220002222221 is a deficient number, since it is larger than the sum of its proper divisors (6436247260179).

10220002222221 is a wasteful number, since it uses less digits than its factorization.

10220002222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985591 (or 985582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10220002222221 its reverse (12222220002201), we get a palindrome (22442222224422).

The spelling of 10220002222221 in words is "ten trillion, two hundred twenty billion, two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 11779 35337 106011 129569 318033 388707 954099 973789 1166121 2921367 3498363 8764101 10495089 10711679 26292303 32135037 78876909 96405111 289215333 867645999 11470260631 34410781893 103232345679 126172866941 309697037037 378518600823 929091111111 1135555802469 3406667407407 10220002222221