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3330130101312 = 263717314322401
BaseRepresentation
bin110000011101011011001…
…110001100010001000000
3102210100122111022001000110
4300131123032030101000
5414030101301220222
611025501325151320
7462410504550420
oct60353316142100
912710574261013
103330130101312
111074333698053
124594999bb540
131b2050976511
14b727186c480
155b95717a30c
hex3075b38c440

3330130101312 has 112 divisors (see below), whose sum is σ = 10127886060672. Its totient is φ = 945965875200.

The previous prime is 3330130101301. The next prime is 3330130101317. The reversal of 3330130101312 is 2131010310333.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33301301013122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3330130101317) 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, 6928689 + ... + 7393712.

Almost surely, 23330130101312 is an apocalyptic number.

3330130101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3330130101312 is an abundant number, since it is smaller than the sum of its proper divisors (6797755959360).

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

3330130101312 is a wasteful number, since it uses less digits than its factorization.

3330130101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322596 (or 14322586 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3330130101312 its reverse (2131010310333), we get a palindrome (5461140411645).

The spelling of 3330130101312 in words is "three trillion, three hundred thirty billion, one hundred thirty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 672 692 1038 1211 1344 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 11072 14532 16608 19376 29064 33216 38752 58128 77504 116256 232512 14322401 28644802 42967203 57289604 85934406 100256807 114579208 171868812 200513614 229158416 300770421 343737624 401027228 458316832 601540842 687475248 802054456 916633664 1203081684 1374950496 1604108912 2406163368 2477775373 2749900992 3208217824 4812326736 4955550746 6416435648 7433326119 9624653472 9911101492 14866652238 17344427611 19249306944 19822202984 29733304476 34688855222 39644405968 52033282833 59466608952 69377710444 79288811936 104066565666 118933217904 138755420888 158577623872 208133131332 237866435808 277510841776 416266262664 475732871616 555021683552 832532525328 1110043367104 1665065050656 3330130101312