Search a number
-
+
122322120123331 = 10133111713124631
BaseRepresentation
bin11011110100000001010110…
…100001001010001111000011
3121001002212202212110121100201
4123310001112201022033003
5112013111200222421311
61112054001202030031
734523324111440222
oct3364012641121703
9531085685417321
10122322120123331
1135a80579973357
1211876a1a648317
135333c074ac9cb
14222c5ca750cb9
15e21d2bc4c9c1
hex6f405684a3c3

122322120123331 has 16 divisors (see below), whose sum is σ = 124012294592256. Its totient is φ = 120641964300000.

The previous prime is 122322120123323. The next prime is 122322120123367. The reversal of 122322120123331 is 133321021223221.

It is a cyclic number.

It is not a de Polignac number, because 122322120123331 - 23 = 122322120123323 is a prime.

It is a super-2 number, since 2×1223221201233312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122322120123331.

It is not an unprimeable number, because it can be changed into a prime (122322120123391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37585386 + ... + 40710016.

It is an arithmetic number, because the mean of its divisors is an integer number (7750768412016).

Almost surely, 2122322120123331 is an apocalyptic number.

122322120123331 is a deficient number, since it is larger than the sum of its proper divisors (1690174468925).

122322120123331 is a wasteful number, since it uses less digits than its factorization.

122322120123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126234.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 122322120123331 its reverse (133321021223221), we get a palindrome (255643141346552).

The spelling of 122322120123331 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, one hundred twenty million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 101 331 1171 33431 118271 387601 3124631 39147701 315587731 1034252861 3658942901 104459538961 369553233001 1211110100231 122322120123331