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20024242312431 = 3731919269912401
BaseRepresentation
bin1001000110110010000011…
…10110011001010011101111
32121220022001212122120112010
410203121001312121103233
510111034122012444211
6110331002051012303
74134463251205410
oct443310166312357
977808055576463
1020024242312431
116420262833195
1222b49ba29a093
13b2337c8605c6
144d326db31807
1524ad2328d4a6
hex123641d994ef

20024242312431 has 64 divisors (see below), whose sum is σ = 31545925632000. Its totient is φ = 11056274496000.

The previous prime is 20024242312427. The next prime is 20024242312463. The reversal of 20024242312431 is 13421324242002.

It is not a de Polignac number, because 20024242312431 - 22 = 20024242312427 is a prime.

It is a super-2 number, since 2×200242423124312 (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 (20024242332431) 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 63 ways as a sum of consecutive naturals, for example, 1614721831 + ... + 1614734231.

It is an arithmetic number, because the mean of its divisors is an integer number (492905088000).

Almost surely, 220024242312431 is an apocalyptic number.

20024242312431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20024242312431 is a deficient number, since it is larger than the sum of its proper divisors (11521683319569).

20024242312431 is a wasteful number, since it uses less digits than its factorization.

20024242312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20024242312431 its reverse (13421324242002), we get a palindrome (33445566554433).

The spelling of 20024242312431 in words is "twenty trillion, twenty-four billion, two hundred forty-two million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 919 2699 2757 6433 8097 12401 18893 19299 28489 37203 56679 83669 85467 86807 199423 251007 260421 384431 585683 598269 1153293 1757049 2480381 2691017 7441143 8073051 11396519 17362667 33470299 34189557 52088001 76891811 79775633 100410897 230675433 234292093 239326899 353292089 538242677 702876279 1037579269 1059876267 1614728031 2473044623 3112737807 7263054883 7419133869 21789164649 30759204781 92277614343 215314433467 645943300401 953535348211 2860606044633 6674747437477 20024242312431