Search a number
-
+
331122232133 = 71121733225583
BaseRepresentation
bin1001101000110000110…
…11000100101101000101
31011122200110220020012022
410310120123010231011
520411114242412013
6412040534332525
732631342351110
oct4643033045505
91148613806168
10331122232133
1111847895aa00
12542101ba145
13252bc859a94
1412052635577
15892eab1008
hex4d186c4b45

331122232133 has 24 divisors (see below), whose sum is σ = 416197065984. Its totient is φ = 257867295840.

The previous prime is 331122232073. The next prime is 331122232141. The reversal of 331122232133 is 331232221133.

It is not a de Polignac number, because 331122232133 - 210 = 331122231109 is a prime.

It is a super-2 number, since 2×3311222321332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122232153) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1355060 + ... + 1580642.

It is an arithmetic number, because the mean of its divisors is an integer number (17341544416).

Almost surely, 2331122232133 is an apocalyptic number.

It is an amenable number.

331122232133 is a deficient number, since it is larger than the sum of its proper divisors (85074833851).

331122232133 is a wasteful number, since it uses less digits than its factorization.

331122232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227345 (or 227334 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 331122232133 its reverse (331232221133), we get a palindrome (662354453266).

The spelling of 331122232133 in words is "three hundred thirty-one billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 11 77 121 847 1733 12131 19063 133441 209693 225583 1467851 1579081 2481413 17369891 27295543 191068801 390935339 2736547373 4300288729 30102021103 47303176019 331122232133