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200321212100321 = 13477511753249037
BaseRepresentation
bin101101100011000011101010…
…101100000010111011100001
3222021021112001200212102121202
4231203003222230002323201
5202224030320244202241
61550014143331330545
760123505244160224
oct5543035254027341
9867245050772552
10200321212100321
115891282695a574
121a573714750a55
1387a1294935430
14376785400b5bb
151825c33ae4d9b
hexb630eab02ee1

200321212100321 has 32 divisors (see below), whose sum is σ = 220740652812288. Its totient is φ = 180632783808000.

The previous prime is 200321212100293. The next prime is 200321212100341. The reversal of 200321212100321 is 123001212123002.

It is a cyclic number.

It is not a de Polignac number, because 200321212100321 - 26 = 200321212100257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200321212100293 and 200321212100302.

It is not an unprimeable number, because it can be changed into a prime (200321212100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804258815 + ... + 804507851.

It is an arithmetic number, because the mean of its divisors is an integer number (6898145400384).

Almost surely, 2200321212100321 is an apocalyptic number.

It is an amenable number.

200321212100321 is a deficient number, since it is larger than the sum of its proper divisors (20419440711967).

200321212100321 is a wasteful number, since it uses less digits than its factorization.

200321212100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251601.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 200321212100321 its reverse (123001212123002), we get a palindrome (323322424223323).

The spelling of 200321212100321 in words is "two hundred trillion, three hundred twenty-one billion, two hundred twelve million, one hundred thousand, three hundred twenty-one".

Divisors: 1 13 47 611 751 1753 9763 22789 35297 82391 249037 458861 1071083 1316503 3237481 11704739 17114539 61875641 152161607 187026787 436561861 804383333 2431348231 5675304193 8790258989 20518407467 114273366857 266739297071 327857957611 4262153448943 15409324007717 200321212100321