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3323330230112 = 2517223127921419
BaseRepresentation
bin110000010111000101111…
…010101111011101100000
3102202201002121010210022222
4300113011322233131200
5413422140014330422
611022414500250212
7462050135603144
oct60270572573540
912681077123288
103323330230112
111071464304192
124581006a0968
131b1508c713a9
14b6bc8729224
155b6aa1e3842
hex305c5eaf760

3323330230112 has 96 divisors (see below), whose sum is σ = 6964509081600. Its totient is φ = 1555617097728.

The previous prime is 3323330230013. The next prime is 3323330230117. The reversal of 3323330230112 is 2110320333233.

It is a happy number.

It is a super-2 number, since 2×33233302301122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323330230117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155147339 + ... + 155168757.

It is an arithmetic number, because the mean of its divisors is an integer number (72546969600).

Almost surely, 23323330230112 is an apocalyptic number.

3323330230112 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 3323330230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482254540800).

3323330230112 is an abundant number, since it is smaller than the sum of its proper divisors (3641178851488).

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

3323330230112 is a wasteful number, since it uses less digits than its factorization.

3323330230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22948 (or 22940 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 3323330230112 its reverse (2110320333233), we get a palindrome (5433650563345).

The spelling of 3323330230112 in words is "three trillion, three hundred twenty-three billion, three hundred thirty million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 223 272 446 544 892 1279 1784 2558 3568 3791 5116 7136 7582 10232 15164 20464 21419 21743 30328 40928 42838 43486 60656 85676 86972 121312 171352 173944 285217 342704 347888 364123 570434 685408 695776 728246 1140868 1456492 2281736 2912984 4563472 4776437 4848689 5825968 9126944 9552874 9697378 11651936 19105748 19394756 27394901 38211496 38789512 54789802 76422992 77579024 81199429 109579604 152845984 155158048 162398858 219159208 324797716 438318416 465713317 649595432 876636832 931426634 1299190864 1862853268 2598381728 3725706536 6109062923 7451413072 12218125846 14902826144 24436251692 48872503384 97745006768 103854069691 195490013536 207708139382 415416278764 830832557528 1661665115056 3323330230112