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2330433220401 = 321131370921107
BaseRepresentation
bin100001111010011000101…
…001001110111100110001
322020210020220020122202100
4201322120221032330301
5301140211401023101
64542330343411013
7330240210351456
oct41723051167461
98223226218670
102330433220401
11819370887000
123177a1453a69
1313b9b342b3b0
1480b177ab82d
154094733be86
hex21e98a4ef31

2330433220401 has 96 divisors (see below), whose sum is σ = 3993170912640. Its totient is φ = 1301838341760.

The previous prime is 2330433220373. The next prime is 2330433220447. The reversal of 2330433220401 is 1040223340332.

2330433220401 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 33 + 220 + 401 = 666.

2330433220401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2330433220401 - 25 = 2330433220369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2330433220001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110399890 + ... + 110420996.

It is an arithmetic number, because the mean of its divisors is an integer number (41595530340).

Almost surely, 22330433220401 is an apocalyptic number.

It is an amenable number.

2330433220401 is a deficient number, since it is larger than the sum of its proper divisors (1662737692239).

2330433220401 is a wasteful number, since it uses less digits than its factorization.

2330433220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21868 (or 21843 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2330433220401 its reverse (1040223340332), we get a palindrome (3370656560733).

The spelling of 2330433220401 in words is "two trillion, three hundred thirty billion, four hundred thirty-three million, two hundred twenty thousand, four hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 709 1089 1287 1331 1573 2127 3993 4719 6381 7799 9217 11979 14157 17303 21107 23397 27651 51909 63321 70191 82953 85789 101387 155727 189963 232177 257367 274391 304161 696531 772101 823173 912483 943679 1115257 2089593 2469519 2553947 2831037 3018301 3345771 7661841 8493111 9054903 10037313 12267827 14964863 22985523 27164709 28093417 33201311 36803481 44894589 84280251 99603933 110410443 134683767 164613493 194543219 252840753 298811799 365214421 493840479 583629657 1095643263 1481521437 1750888971 1810748423 2139975409 3286929789 5432245269 6419926227 16296735807 19259778681 19918232653 23539729499 59754697959 70619188497 179264093877 211857565491 258937024489 776811073467 2330433220401