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3300130223232 = 27337805328843
BaseRepresentation
bin110000000001011111000…
…101101111010010000000
3102200111012202020022212220
4300001133011233102000
5413032131314120412
611004020415451040
7460266206030133
oct60013705572200
912614182208786
103300130223232
111062639527687
12453706b26a80
131ac27c624a7b
14b5a2745621a
155ac9d57768c
hex3005f16f480

3300130223232 has 128 divisors (see below), whose sum is σ = 9004319165760. Its totient is φ = 1070142492672.

The previous prime is 3300130223231. The next prime is 3300130223249. The reversal of 3300130223232 is 2323220310033.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (3300130223231) 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 15 ways as a sum of consecutive naturals, for example, 114402603 + ... + 114431445.

Almost surely, 23300130223232 is an apocalyptic number.

3300130223232 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 3300130223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502159582880).

3300130223232 is an abundant number, since it is smaller than the sum of its proper divisors (5704188942528).

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

3300130223232 is a wasteful number, since it uses less digits than its factorization.

3300130223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36950 (or 36938 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3300130223232 its reverse (2323220310033), we get a palindrome (5623350533265).

The spelling of 3300130223232 in words is "three trillion, three hundred billion, one hundred thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 8053 14208 16106 24159 28843 32212 48318 57686 64424 86529 96636 115372 128848 173058 193272 230744 257696 297961 346116 386544 461488 515392 595922 692232 773088 893883 922976 1030784 1067191 1191844 1384464 1546176 1787766 1845952 2134382 2383688 2768928 3092352 3201573 3575532 3691904 4268764 4767376 5537856 6403146 7151064 8537528 9534752 11075712 12806292 14302128 17075056 19069504 25612584 28604256 34150112 38139008 51225168 57208512 68300224 102450336 114417024 136600448 204900672 232272679 409801344 464545358 696818037 929090716 1393636074 1858181432 2787272148 3716362864 5574544296 7432725728 8594089123 11149088592 14865451456 17188178246 22298177184 25782267369 29730902912 34376356492 44596354368 51564534738 68752712984 89192708736 103129069476 137505425968 206258138952 275010851936 412516277904 550021703872 825032555808 1100043407744 1650065111616 3300130223232