Search a number
-
+
122101212031 = 193632648767
BaseRepresentation
bin111000110110111001…
…1001010001101111111
3102200011102222020112021
41301231303022031333
54000030402241111
6132031552421011
711551532115001
oct1615563121577
9380142866467
10122101212031
1147867a50897
121b7b7547767
13b68b60aab6
145ca442a371
1532996abd71
hex1c6dcca37f

122101212031 has 4 divisors (see below), whose sum is σ = 122733860992. Its totient is φ = 121468563072.

The previous prime is 122101212017. The next prime is 122101212043. The reversal of 122101212031 is 130212101221.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 130212101221 = 775211679701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101212031 is a prime.

It is a super-2 number, since 2×1221012120312 (a number of 23 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 = 122101211996 and 122101212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101212091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316324191 + ... + 316324576.

It is an arithmetic number, because the mean of its divisors is an integer number (30683465248).

Almost surely, 2122101212031 is an apocalyptic number.

122101212031 is a deficient number, since it is larger than the sum of its proper divisors (632648961).

122101212031 is an equidigital number, since it uses as much as digits as its factorization.

122101212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632648960.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122101212031 its reverse (130212101221), we get a palindrome (252313313252).

The spelling of 122101212031 in words is "one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, thirty-one".

Divisors: 1 193 632648767 122101212031