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10220231330413 = 1319232521150131
BaseRepresentation
bin1001010010111001010101…
…0000100000101001101101
31100012001012111100000020121
42110232111100200221231
52314422013210033123
633423035350444541
72103246600642016
oct224562520405155
940161174300217
1010220231330413
1132904151661a5
1211908ba963751
135919c0a59010
1427493a11200d
1512acb95ca75d
hex94b95420a6d

10220231330413 has 48 divisors (see below), whose sum is σ = 12134641095360. Its totient is φ = 8532476409600.

The previous prime is 10220231330389. The next prime is 10220231330593. The reversal of 10220231330413 is 31403313202201.

It is not a de Polignac number, because 10220231330413 - 25 = 10220231330381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220231331413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68000358 + ... + 68150488.

It is an arithmetic number, because the mean of its divisors is an integer number (252805022820).

Almost surely, 210220231330413 is an apocalyptic number.

10220231330413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10220231330413 is a deficient number, since it is larger than the sum of its proper divisors (1914409764947).

10220231330413 is a wasteful number, since it uses less digits than its factorization.

10220231330413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150730 (or 150707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10220231330413 its reverse (31403313202201), we get a palindrome (41623544532614).

The spelling of 10220231330413 in words is "ten trillion, two hundred twenty billion, two hundred thirty-one million, three hundred thirty thousand, four hundred thirteen".

Divisors: 1 13 19 23 247 299 437 521 529 5681 6773 6877 9899 10051 11983 128687 130663 150131 155779 227677 275609 1951703 2852489 2959801 3453013 3582917 5236571 37082357 44889169 65607247 68075423 78218251 79419299 852894211 1016837263 1032450887 1486146769 1508966681 1799019773 19319907997 19616566853 23387257049 34181375687 41377454779 444357883931 537906912127 786171640801 10220231330413