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10117221581 is a prime number
BaseRepresentation
bin10010110110000100…
…01000110011001101
3222010002100002220102
421123002020303031
5131210002042311
64351531100445
7505466651555
oct113302106315
928102302812
1010117221581
1143219a9355
121b642a1725
13c5308085c
146bd958165
153e331543b
hex25b088ccd

10117221581 has 2 divisors, whose sum is σ = 10117221582. Its totient is φ = 10117221580.

The previous prime is 10117221559. The next prime is 10117221601. The reversal of 10117221581 is 18512271101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5616153481 + 4501068100 = 74941^2 + 67090^2 .

It is an emirp because it is prime and its reverse (18512271101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10117221581 is a prime.

It is a super-2 number, since 2×101172215812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10117221481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058610790 + 5058610791.

It is an arithmetic number, because the mean of its divisors is an integer number (5058610791).

Almost surely, 210117221581 is an apocalyptic number.

It is an amenable number.

10117221581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117221581 is an equidigital number, since it uses as much as digits as its factorization.

10117221581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 29.

Adding to 10117221581 its reverse (18512271101), we get a palindrome (28629492682).

The spelling of 10117221581 in words is "ten billion, one hundred seventeen million, two hundred twenty-one thousand, five hundred eighty-one".