Search a number
-
+
122114324242331 = 1259665314578853
BaseRepresentation
bin11011110000111111110100…
…111010110001111110011011
3121000101000102012212010120222
4123300333310322301332123
5112001210114001223311
61111414313543110255
734502316535544201
oct3360776472617633
9530330365763528
10122114324242331
1135a004375803a3
12118426a814238b
13531a4400177c5
14222251713b071
15e1b71919cadb
hex6f0ff4eb1f9b

122114324242331 has 8 divisors (see below), whose sum is σ = 122229695090160. Its totient is φ = 121998982568032.

The previous prime is 122114324242289. The next prime is 122114324242349. The reversal of 122114324242331 is 133242423411221.

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-122114324242331 is a prime.

It is a super-2 number, since 2×1221143242423312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122114324242291 and 122114324242300.

It is not an unprimeable number, because it can be changed into a prime (122114324242381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086701 + ... + 15665553.

It is an arithmetic number, because the mean of its divisors is an integer number (15278711886270).

Almost surely, 2122114324242331 is an apocalyptic number.

122114324242331 is a deficient number, since it is larger than the sum of its proper divisors (115370847829).

122114324242331 is a wasteful number, since it uses less digits than its factorization.

122114324242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586765.

The product of its digits is 55296, while the sum is 35.

Adding to 122114324242331 its reverse (133242423411221), we get a palindrome (255356747653552).

The spelling of 122114324242331 in words is "one hundred twenty-two trillion, one hundred fourteen billion, three hundred twenty-four million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 1259 6653 8376127 14578853 18354775927 96993109009 122114324242331