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331102122 = 231337472441
BaseRepresentation
bin10011101111000…
…011011110101010
3212002000201201120
4103233003132222
51134230231442
652504400110
711130215211
oct2357033652
9762021646
10331102122
1115a997a1a
1292a76036
135379a620
1431d8c078
151e1044ec
hex13bc37aa

331102122 has 64 divisors (see below), whose sum is σ = 748306944. Its totient is φ = 96975360.

The previous prime is 331102117. The next prime is 331102127. The reversal of 331102122 is 221201133.

It is an interprime number because it is at equal distance from previous prime (331102117) and next prime (331102127).

It is not an unprimeable number, because it can be changed into a prime (331102127) 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 31 ways as a sum of consecutive naturals, for example, 134422 + ... + 136862.

It is an arithmetic number, because the mean of its divisors is an integer number (11692296).

Almost surely, 2331102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374153472).

331102122 is an abundant number, since it is smaller than the sum of its proper divisors (417204822).

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

331102122 is a wasteful number, since it uses less digits than its factorization.

331102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331102122 is about 18196.2117486031. The cubic root of 331102122 is about 691.8107741604.

Adding to 331102122 its reverse (221201133), we get a palindrome (552303255).

The spelling of 331102122 in words is "three hundred thirty-one million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 37 39 47 74 78 94 111 141 222 282 481 611 962 1222 1443 1739 1833 2441 2886 3478 3666 4882 5217 7323 10434 14646 22607 31733 45214 63466 67821 90317 95199 114727 135642 180634 190398 229454 270951 344181 541902 688362 1174121 1491451 2348242 2982902 3522363 4244899 4474353 7044726 8489798 8948706 12734697 25469394 55183687 110367374 165551061 331102122