Search a number
-
+
122033301033331 = 1117234343466201
BaseRepresentation
bin11011101111110100010111…
…100011110001000101110011
3121000002021021120101122201101
4123233310113203301011303
5111443343200031031311
61111313154034345231
734463420650616032
oct3357642743610563
9530067246348641
10122033301033331
113597a03a039246
121182aa5572b217
1353128c9c0a89c
14221c62c532719
15e19575e65ec1
hex6efd178f1173

122033301033331 has 8 divisors (see below), whose sum is σ = 122143335183584. Its totient is φ = 121923268286400.

The previous prime is 122033301033313. The next prime is 122033301033383. The reversal of 122033301033331 is 133330103330221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122033301033331 is a prime.

It is a super-3 number, since 3×1220333010333313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 122033301033331.

It is not an unprimeable number, because it can be changed into a prime (122033301033311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261528031 + ... + 261994231.

It is an arithmetic number, because the mean of its divisors is an integer number (15267916897948).

Almost surely, 2122033301033331 is an apocalyptic number.

122033301033331 is a deficient number, since it is larger than the sum of its proper divisors (110034150253).

122033301033331 is a wasteful number, since it uses less digits than its factorization.

122033301033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701661.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 122033301033331 its reverse (133330103330221), we get a palindrome (255363404363552).

The spelling of 122033301033331 in words is "one hundred twenty-two trillion, thirty-three billion, three hundred one million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 1117 234343 466201 261761131 520746517 109250940943 122033301033331