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3330113222112 = 253732711753459
BaseRepresentation
bin110000011101011010001…
…101110011010111100000
3102210100121022112111002220
4300131122031303113200
5414030032441101422
611025455523311040
7462410211230055
oct60353215632740
912710538474086
103330113222112
1110743251094a6
1245949421b480
131b204a316721
14b726d51702c
155b955943e5c
hex3075a3735e0

3330113222112 has 96 divisors (see below), whose sum is σ = 8893998005760. Its totient is φ = 1090791152640.

The previous prime is 3330113222101. The next prime is 3330113222143. The reversal of 3330113222112 is 2112223110333.

3330113222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33301132221122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022439 + ... + 2775897.

It is an arithmetic number, because the mean of its divisors is an integer number (92645812560).

Almost surely, 23330113222112 is an apocalyptic number.

3330113222112 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 3330113222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446999002880).

3330113222112 is an abundant number, since it is smaller than the sum of its proper divisors (5563884783648).

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

3330113222112 is a wasteful number, since it uses less digits than its factorization.

3330113222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753816 (or 1753808 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3330113222112 its reverse (2112223110333), we get a palindrome (5442336332445).

The spelling of 3330113222112 in words is "three trillion, three hundred thirty billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 271 292 438 542 584 813 876 1084 1168 1626 1752 2168 2336 3252 3504 4336 6504 7008 8672 13008 19783 26016 39566 59349 79132 118698 158264 237396 316528 474792 633056 949584 1753459 1899168 3506918 5260377 7013836 10520754 14027672 21041508 28055344 42083016 56110688 84166032 128002507 168332064 256005014 384007521 475187389 512010028 768015042 950374778 1024020056 1425562167 1536030084 1900749556 2048040112 2851124334 3072060168 3801499112 4096080224 5702248668 6144120336 7602998224 11404497336 12288240672 15205996448 22808994672 34688679397 45617989344 69377358794 104066038191 138754717588 208132076382 277509435176 416264152764 555018870352 832528305528 1110037740704 1665056611056 3330113222112