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332003101004223 = 311175669104393347
BaseRepresentation
bin100101101111101000111111…
…0111001100101000110111111
31121112112012000221120112101120
41023133101332321211012333
5322004014322324113343
63134040041413442023
7126634301225604105
oct11337217671450677
91545465027515346
10332003101004223
11968717a7239770
12312a0512940313
13113339b169556c
145bdb07044bc75
15285b2689ab683
hex12df47ee651bf

332003101004223 has 32 divisors (see below), whose sum is σ = 511410484650240. Its totient is φ = 189344475240960.

The previous prime is 332003101004117. The next prime is 332003101004243. The reversal of 332003101004223 is 322400101300233.

It is not a de Polignac number, because 332003101004223 - 216 = 332003100938687 is a prime.

It is a super-2 number, since 2×3320031010042232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332003101004193 and 332003101004202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332003101004243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49016365 + ... + 55376982.

It is an arithmetic number, because the mean of its divisors is an integer number (15981577645320).

Almost surely, 2332003101004223 is an apocalyptic number.

332003101004223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

332003101004223 is a deficient number, since it is larger than the sum of its proper divisors (179407383646017).

332003101004223 is a wasteful number, since it uses less digits than its factorization.

332003101004223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104399047.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 332003101004223 its reverse (322400101300233), we get a palindrome (654403202304456).

The spelling of 332003101004223 in words is "three hundred thirty-two trillion, three billion, one hundred one million, four thousand, two hundred twenty-three".

Divisors: 1 3 11 17 33 51 187 561 5669 17007 62359 96373 187077 289119 1060103 3180309 104393347 313180041 1148326817 1774686899 3444980451 5324060697 19521555889 58564667667 591805884143 1775417652429 6509864725573 10060700030431 19529594176719 30182100091293 110667700334741 332003101004223