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330102201300 = 2235219312894423
BaseRepresentation
bin1001100110110111001…
…11111101101111010100
31011120001101112021221120
410303123213331233110
520402022130420200
6411351415443540
732564145262224
oct4633347755724
91146041467846
10330102201300
11117aa50a5713
1253b866865b0
1325189428441
1411d96d92084
1588c02749a0
hex4cdb9fdbd4

330102201300 has 144 divisors (see below), whose sum is σ = 961006408320. Its totient is φ = 87483432960.

The previous prime is 330102201293. The next prime is 330102201337. The reversal of 330102201300 is 3102201033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330102201300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74630889 + ... + 74635311.

Almost surely, 2330102201300 is an apocalyptic number.

330102201300 is a gapful number since it is divisible by the number (30) 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 330102201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480503204160).

330102201300 is an abundant number, since it is smaller than the sum of its proper divisors (630904207020).

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

330102201300 is a wasteful number, since it uses less digits than its factorization.

330102201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 330102201300 its reverse (3102201033), we get a palindrome (333204402333).

The spelling of 330102201300 in words is "three hundred thirty billion, one hundred two million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1158 1289 1930 2316 2578 2895 3860 3867 4423 4825 5156 5790 6445 7734 8846 9650 11580 12890 13269 14475 15468 17692 19300 19335 22115 25780 26538 28950 32225 38670 44230 53076 57900 64450 66345 77340 88460 96675 110575 128900 132690 193350 221150 248777 265380 331725 386700 442300 497554 663450 746331 853639 995108 1243885 1326900 1492662 1707278 2487770 2560917 2985324 3414556 3731655 4268195 4975540 5121834 5701247 6219425 7463310 8536390 10243668 11402494 12438850 12804585 14926620 17072780 17103741 18658275 21340975 22804988 24877700 25609170 28506235 34207482 37316550 42681950 51218340 57012470 64022925 68414964 74633100 85363900 85518705 114024940 128045850 142531175 171037410 256091700 285062350 342074820 427593525 570124700 855187050 1100340671 1710374100 2200681342 3301022013 4401362684 5501703355 6602044026 11003406710 13204088052 16505110065 22006813420 27508516775 33010220130 55017033550 66020440260 82525550325 110034067100 165051100650 330102201300