Search a number
-
+
122112000031 = 730553570961
BaseRepresentation
bin111000110111001110…
…0010100000000011111
3102200012012021022212211
41301232130110000133
54000041133000111
6132033015541251
711552022605620
oct1615634240037
9380165238784
10122112000031
1147873049a9a
121b7bb08a827
13b690917228
145ca5a37a47
15329a5dd521
hex1c6e71401f

122112000031 has 8 divisors (see below), whose sum is σ = 139561383584. Its totient is φ = 104663819520.

The previous prime is 122112000029. The next prime is 122112000041. The reversal of 122112000031 is 130000211221.

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 122112000031 - 21 = 122112000029 is a prime.

It is a super-2 number, since 2×1221120000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111999975 and 122112000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000041) 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, 71610 + ... + 499351.

It is an arithmetic number, because the mean of its divisors is an integer number (17445172948).

Almost surely, 2122112000031 is an apocalyptic number.

122112000031 is a deficient number, since it is larger than the sum of its proper divisors (17449383553).

122112000031 is an equidigital number, since it uses as much as digits as its factorization.

122112000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601521.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122112000031 its reverse (130000211221), we get a palindrome (252112211252).

The spelling of 122112000031 in words is "one hundred twenty-two billion, one hundred twelve million, thirty-one", and thus it is an aban number.

Divisors: 1 7 30553 213871 570961 3996727 17444571433 122112000031