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332031002103300 = 2235219723324112111
BaseRepresentation
bin100101101111110101111110…
…1111011110100111000000100
31121112121212001102102012222110
41023133223331323310320010
5322004443443014301200
63134100534151101020
7126636306521204223
oct11337537573647004
91545555042365873
10332031002103300
1196882614725435
12312a59ba971770
1311336509c65b46
145bdc559c14cba
15285bd4d1d8b50
hex12dfafdef4e04

332031002103300 has 144 divisors (see below), whose sum is σ = 969696939923712. Its totient is φ = 87714069273600.

The previous prime is 332031002103253. The next prime is 332031002103337. The reversal of 332031002103300 is 3301200130233.

It is a super-2 number, since 2×3320310021033002 (a number of 30 digits) contains 22 as substring.

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, 1714245 + ... + 25826355.

It is an arithmetic number, because the mean of its divisors is an integer number (6734006527248).

Almost surely, 2332031002103300 is an apocalyptic number.

332031002103300 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 332031002103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484848469961856).

332031002103300 is an abundant number, since it is smaller than the sum of its proper divisors (637665937820412).

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

332031002103300 is a wasteful number, since it uses less digits than its factorization.

332031002103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24112558 (or 24112551 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 332031002103300 its reverse (3301200130233), we get a palindrome (335332202233533).

The spelling of 332031002103300 in words is "three hundred thirty-two trillion, thirty-one billion, two million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 233 300 394 466 591 699 788 932 985 1165 1182 1398 1970 2330 2364 2796 2955 3495 3940 4660 4925 5825 5910 6990 9850 11650 11820 13980 14775 17475 19700 23300 29550 34950 45901 59100 69900 91802 137703 183604 229505 275406 459010 550812 688515 918020 1147525 1377030 2295050 2754060 3442575 4590100 6885150 13770300 24112111 48224222 72336333 96448444 120560555 144672666 241121110 289345332 361681665 482242220 602802775 723363330 1205605550 1446726660 1808408325 2411211100 3616816650 4750085867 5618121863 7233633300 9500171734 11236243726 14250257601 16854365589 19000343468 22472487452 23750429335 28090609315 28500515202 33708731178 47500858670 56181218630 57001030404 67417462356 71251288005 84271827945 95001717340 112362437260 118752146675 140453046575 142502576010 168543655890 237504293350 280906093150 285005152020 337087311780 356256440025 421359139725 475008586700 561812186300 712512880050 842718279450 1106770007011 1425025760100 1685436558900 2213540014022 3320310021033 4427080028044 5533850035055 6640620042066 11067700070110 13281240084132 16601550105165 22135400140220 27669250175275 33203100210330 55338500350550 66406200420660 83007750525825 110677000701100 166015501051650 332031002103300