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10022421413301 = 3115367461185527
BaseRepresentation
bin1001000111011000011011…
…0111100011110110110101
31022111010121210002001200020
42101312012313203312311
52303201404340211201
633152123053435353
72053044642251223
oct221660667436665
938433553061606
1010022421413301
113214537670760
12115a4b479bb59
135791583a859b
14269132c49b13
15125a8d564a36
hex91d86de3db5

10022421413301 has 64 divisors (see below), whose sum is σ = 15107595503616. Its totient is φ = 5857872134400.

The previous prime is 10022421413237. The next prime is 10022421413309. The reversal of 10022421413301 is 10331412422001.

It is not a de Polignac number, because 10022421413301 - 26 = 10022421413237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022421413309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53928600 + ... + 54114126.

It is an arithmetic number, because the mean of its divisors is an integer number (236056179744).

Almost surely, 210022421413301 is an apocalyptic number.

10022421413301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022421413301 is a deficient number, since it is larger than the sum of its proper divisors (5085174090315).

10022421413301 is a wasteful number, since it uses less digits than its factorization.

10022421413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186122.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10022421413301 its reverse (10331412422001), we get a palindrome (20353833835302).

The spelling of 10022421413301 in words is "ten trillion, twenty-two billion, four hundred twenty-one million, four hundred thirteen thousand, three hundred one".

Divisors: 1 3 11 33 53 67 159 201 461 583 737 1383 1749 2211 3551 5071 10653 15213 24433 30887 39061 73299 92661 117183 185527 268763 339757 556581 806289 1019271 1637011 2040797 4911033 6122391 9832931 12430309 18007121 29498793 37290927 54021363 85527947 108162241 136733399 256583841 324486723 410200197 658806377 940807417 1976419131 2822422251 4532981191 5730372449 7246870147 13598943573 17191117347 21740610441 49862793101 63034096939 149588379303 189102290817 303709739797 911129219391 3340807137767 10022421413301