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10220012101 = 135314833109
BaseRepresentation
bin10011000010010100…
…10000001001000101
3222101020202101222201
421201022100021011
5131412310341401
64410042154501
7511155445435
oct114112201105
928336671881
1010220012101
114374a263a2
121b927b2a31
13c6b460550
146cd4742c5
153ec36bb01
hex261290245

10220012101 has 8 divisors (see below), whose sum is σ = 11213831160. Its totient is φ = 9255859392.

The previous prime is 10220012093. The next prime is 10220012137. The reversal of 10220012101 is 10121002201.

It can be written as a sum of positive squares in 4 ways, for example, as 4018292100 + 6201720001 = 63390^2 + 78751^2 .

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

It is not a de Polignac number, because 10220012101 - 23 = 10220012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7415866 + ... + 7417243.

It is an arithmetic number, because the mean of its divisors is an integer number (1401728895).

Almost surely, 210220012101 is an apocalyptic number.

It is an amenable number.

10220012101 is a deficient number, since it is larger than the sum of its proper divisors (993819059).

10220012101 is a wasteful number, since it uses less digits than its factorization.

10220012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14833175.

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

Adding to 10220012101 its reverse (10121002201), we get a palindrome (20341014302).

The spelling of 10220012101 in words is "ten billion, two hundred twenty million, twelve thousand, one hundred one".

Divisors: 1 13 53 689 14833109 192830417 786154777 10220012101