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122110311331 = 315365373417
BaseRepresentation
bin111000110111001010…
…1110111101110100011
3102200012002002112102101
41301232111313232203
54000040214430311
6132032515431231
711552002343401
oct1615625675643
9380162075371
10122110311331
11478720a6278
121b7ba5b5517
13b6904756b8
145ca5718471
15329a3a7ec1
hex1c6e577ba3

122110311331 has 8 divisors (see below), whose sum is σ = 126053419904. Its totient is φ = 118167456960.

The previous prime is 122110311293. The next prime is 122110311361. The reversal of 122110311331 is 133113011221.

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

It is a cyclic number.

It is not a de Polignac number, because 122110311331 - 27 = 122110311203 is a prime.

It is a super-2 number, since 2×1221103113312 (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 = 122110311299 and 122110311308.

It is not an unprimeable number, because it can be changed into a prime (122110311361) 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 7 ways as a sum of consecutive naturals, for example, 1626535 + ... + 1699951.

It is an arithmetic number, because the mean of its divisors is an integer number (15756677488).

Almost surely, 2122110311331 is an apocalyptic number.

122110311331 is a deficient number, since it is larger than the sum of its proper divisors (3943108573).

122110311331 is an equidigital number, since it uses as much as digits as its factorization.

122110311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127101.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 122110311331 its reverse (133113011221), we get a palindrome (255223322552).

The spelling of 122110311331 in words is "one hundred twenty-two billion, one hundred ten million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 31 53653 73417 1663243 2275927 3939042301 122110311331