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21031033001321 = 72173372361109
BaseRepresentation
bin1001100100000101010110…
…10000000101010101101001
32202110112202211221201221002
410302002223100011111221
510224033023422020241
6112421305001324345
74300304413646300
oct462025320052551
982415684851832
1021031033001321
116779235940162
122437b564966b5
13b972aa967945
14529c9bdab437
152670eac7589b
hex1320ab405569

21031033001321 has 48 divisors (see below), whose sum is σ = 26695937437200. Its totient is φ = 16507658248704.

The previous prime is 21031033001299. The next prime is 21031033001333. The reversal of 21031033001321 is 12310033013012.

It can be written as a sum of positive squares in 8 ways, for example, as 239256961321 + 20791776040000 = 489139^2 + 4559800^2 .

It is not a de Polignac number, because 21031033001321 - 242 = 16632986490217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21031033001293 and 21031033001302.

It is not an unprimeable number, because it can be changed into a prime (21031033004321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7726715 + ... + 10087823.

It is an arithmetic number, because the mean of its divisors is an integer number (556165363275).

Almost surely, 221031033001321 is an apocalyptic number.

It is an amenable number.

21031033001321 is a deficient number, since it is larger than the sum of its proper divisors (5664904435879).

21031033001321 is an equidigital number, since it uses as much as digits as its factorization.

21031033001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361211 (or 2361170 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21031033001321 its reverse (12310033013012), we get a palindrome (33341066014333).

The spelling of 21031033001321 in words is "twenty-one trillion, thirty-one billion, thirty-three million, one thousand, three hundred twenty-one".

Divisors: 1 7 17 37 49 119 259 289 629 833 1813 2023 4403 4913 10693 14161 30821 34391 74851 181781 240737 523957 1272467 2361109 8907269 16527763 40138853 87361033 115694341 280971971 611527231 682360501 1485137561 1966803797 4280690617 4776523507 10395962927 11600128517 25247338537 33435664549 72771740489 81200899619 176731369759 429204755129 568406297333 1237119588313 3004433285903 21031033001321