Search a number
-
+
122223202322221 = 71121324043461677
BaseRepresentation
bin11011110010100101001110…
…100011101100011100101101
3121000202102110010011122220101
4123302211032203230130231
5112010001104243302341
61111540321454151101
734513222615134430
oct3362451643543455
9530672403148811
10122223202322221
1135a426293a4300
121185b8131b2491
1353277a1c5a650
1422278c5317817
15e1e48ca2e831
hex6f294e8ec72d

122223202322221 has 48 divisors (see below), whose sum is σ = 165354326553472. Its totient is φ = 87908945984640.

The previous prime is 122223202322189. The next prime is 122223202322233.

122223202322221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122223202322221 - 25 = 122223202322189 is a prime.

It is a super-2 number, since 2×1222232023222212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122223202322221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122223202322281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264506635 + ... + 264968311.

Almost surely, 2122223202322221 is an apocalyptic number.

122223202322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122223202322221 is a deficient number, since it is larger than the sum of its proper divisors (43131124231251).

122223202322221 is a wasteful number, since it uses less digits than its factorization.

122223202322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485762 (or 485751 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 12222320 and 2322221, that added together give a palindrome (14544541).

The spelling of 122223202322221 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, two hundred two million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 24043 168301 264473 312559 461677 1851311 2187913 2909203 3231739 3438149 5078447 6001801 20364421 24067043 35549129 37819639 42012607 55862917 66019811 264737473 391040419 462138677 726217921 5083525447 11100100111 77700700777 122101101221 144301301443 854707708547 1010109110101 1343112113431 1587314315873 9401784794017 11111200211111 17460457474603 122223202322221