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331132122 = 23218396229
BaseRepresentation
bin10011101111001…
…010110011011010
3212002002020212200
4103233022303122
51134232211442
652505151030
711130401526
oct2357126332
9762066780
10331132122
1115aa08512
1292a8b476
13537ab189
1431d98d86
151e10d34c
hex13bcacda

331132122 has 12 divisors (see below), whose sum is σ = 717452970. Its totient is φ = 110377368.

The previous prime is 331132117. The next prime is 331132141. The reversal of 331132122 is 221231133.

It can be written as a sum of positive squares in only one way, i.e., 222576561 + 108555561 = 14919^2 + 10419^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 18396229 = 331132122 / (3 + 3 + 1 + 1 + 3 + 2 + 1 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 331132095 and 331132104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9198097 + ... + 9198132.

Almost surely, 2331132122 is an apocalyptic number.

331132122 is an abundant number, since it is smaller than the sum of its proper divisors (386320848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331132122 is a wasteful number, since it uses less digits than its factorization.

331132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396237 (or 18396234 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 331132122 is about 18197.0360773396. The cubic root of 331132122 is about 691.8316677106.

Adding to 331132122 its reverse (221231133), we get a palindrome (552363255).

The spelling of 331132122 in words is "three hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 18396229 36792458 55188687 110377374 165566061 331132122