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20242013102319 = 3717431024312487
BaseRepresentation
bin1001001101000111101100…
…00000000010000011101111
32122200010011200210220212210
410212203312000002003233
510123121120323233234
6111015015154501503
74156302645321441
oct446436600020357
978603150726783
1020242013102319
1164a46537628a8
12232b055294893
13b3aa76769468
144dda0c016491
1525181b8e1be9
hex1268f60020ef

20242013102319 has 32 divisors (see below), whose sum is σ = 27411189571584. Its totient is φ = 13284341854560.

The previous prime is 20242013102317. The next prime is 20242013102327. The reversal of 20242013102319 is 91320131024202.

It is not a de Polignac number, because 20242013102319 - 21 = 20242013102317 is a prime.

It is a super-2 number, since 2×202420131023192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242013102317) 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 31 ways as a sum of consecutive naturals, for example, 1621040694 + ... + 1621053180.

It is an arithmetic number, because the mean of its divisors is an integer number (856599674112).

Almost surely, 220242013102319 is an apocalyptic number.

20242013102319 is a deficient number, since it is larger than the sum of its proper divisors (7169176469265).

20242013102319 is a wasteful number, since it uses less digits than its factorization.

20242013102319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23547.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 20242013102319 in words is "twenty trillion, two hundred forty-two billion, thirteen million, one hundred two thousand, three hundred nineteen".

Divisors: 1 3 71 213 743 2229 10243 12487 30729 37461 52753 158259 727253 886577 2181759 2659731 7610549 9277841 22831647 27833523 127904341 383713023 540348979 658726711 1621046937 1976180133 9081208211 27243624633 95032925363 285098776089 6747337700773 20242013102319