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20124344342102 = 27111310052120051
BaseRepresentation
bin1001001001101100100000…
…11001010101011001010110
32122020212110011021120011112
410210312100121111121112
510114204124122421402
6110444555100535022
74144636004341460
oct444662031253126
978225404246145
1020124344342102
116459760816730
122310296251472
13b2c943544620
144d8048551130
1524d73142de52
hex124d90655656

20124344342102 has 32 divisors (see below), whose sum is σ = 40530148049664. Its totient is φ = 7237526436000.

The previous prime is 20124344342101. The next prime is 20124344342129.

It is a happy number.

20124344342102 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124344342101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5026058024 + ... + 5026062027.

It is an arithmetic number, because the mean of its divisors is an integer number (1266567126552).

Almost surely, 220124344342102 is an apocalyptic number.

20124344342102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20124344342102 is an abundant number, since it is smaller than the sum of its proper divisors (20405803707562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20124344342102 is a wasteful number, since it uses less digits than its factorization.

20124344342102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052120084.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2012434 and 4342102, that added together give a palindrome (6354536).

The spelling of 20124344342102 in words is "twenty trillion, one hundred twenty-four billion, three hundred forty-four million, three hundred forty-two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 10052120051 20104240102 70364840357 110573320561 130677560663 140729680714 221146641122 261355121326 774013243927 914742924641 1437453167293 1548026487854 1829485849282 2874906334586 10062172171051 20124344342102