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331120101 = 313171393593
BaseRepresentation
bin10011101111000…
…111110111100101
3212002001122101110
4103233013313211
51134231320401
652505015233
711130321504
oct2357076745
9762048343
10331120101
1115a9aa484
1292a84519
13537a5870
1431d9483b
151e1099d6
hex13bc7de5

331120101 has 32 divisors (see below), whose sum is σ = 507185280. Its totient is φ = 190347264.

The previous prime is 331120093. The next prime is 331120103. The reversal of 331120101 is 101021133.

It is not a de Polignac number, because 331120101 - 23 = 331120093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90361 + ... + 93953.

It is an arithmetic number, because the mean of its divisors is an integer number (15849540).

Almost surely, 2331120101 is an apocalyptic number.

It is an amenable number.

331120101 is a deficient number, since it is larger than the sum of its proper divisors (176065179).

331120101 is a wasteful number, since it uses less digits than its factorization.

331120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 331120101 is about 18196.7057732986. The cubic root of 331120101 is about 691.8232958166.

Adding to 331120101 its reverse (101021133), we get a palindrome (432141234).

The spelling of 331120101 in words is "three hundred thirty-one million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 13 17 39 51 139 221 417 663 1807 2363 3593 5421 7089 10779 30719 46709 61081 92157 140127 183243 499427 794053 1498281 2382159 6492551 8490259 19477653 25470777 110373367 331120101