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321111010112 = 2653109186771
BaseRepresentation
bin1001010110000111011…
…01010010101101000000
31010200211210000110100112
410223003231102231000
520230113404310422
6403303311210452
732125300356644
oct4530355225500
91120753013315
10321111010112
111142008806a2
1252297516a28
1324385740779
1411782bd0c24
158545c37ee2
hex4ac3b52b40

321111010112 has 56 divisors (see below), whose sum is σ = 649829954592. Its totient is φ = 157379955200.

The previous prime is 321111010091. The next prime is 321111010147. The reversal of 321111010112 is 211010111123.

It is a super-2 number, since 2×3211110101122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3657287 + ... + 3744057.

It is an arithmetic number, because the mean of its divisors is an integer number (11604106332).

Almost surely, 2321111010112 is an apocalyptic number.

321111010112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321111010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324914977296).

321111010112 is an abundant number, since it is smaller than the sum of its proper divisors (328718944480).

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

321111010112 is a wasteful number, since it uses less digits than its factorization.

321111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87927 (or 87917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 321111010112 its reverse (211010111123), we get a palindrome (532121121235).

The spelling of 321111010112 in words is "three hundred twenty-one billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1091 1696 2182 3392 4364 8728 17456 34912 57823 69824 86771 115646 173542 231292 347084 462584 694168 925168 1388336 1850336 2776672 3700672 4598863 5553344 9197726 18395452 36790904 73581808 94667161 147163616 189334322 294327232 378668644 757337288 1514674576 3029349152 5017359533 6058698304 10034719066 20069438132 40138876264 80277752528 160555505056 321111010112