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20123424131340 = 22351917652126431
BaseRepresentation
bin1001001001101010110011…
…00011000000100100001100
32122020210002000202000022110
410210311121203000210030
510114200233034200330
6110444323505344020
74144604131565325
oct444653143004414
978223060660273
1020123424131340
11645932933a772
12231007a038010
13b2c8279c290a
144d7d9c25344c
1524d6ca75ddb0
hex124d598c090c

20123424131340 has 48 divisors (see below), whose sum is σ = 59311144811520. Its totient is φ = 5083812411840.

The previous prime is 20123424131323. The next prime is 20123424131341. The reversal of 20123424131340 is 4313142432102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20123424131298 and 20123424131307.

It is not an unprimeable number, because it can be changed into a prime (20123424131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8826062076 + ... + 8826064355.

It is an arithmetic number, because the mean of its divisors is an integer number (1235648850240).

Almost surely, 220123424131340 is an apocalyptic number.

20123424131340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123424131340 is an abundant number, since it is smaller than the sum of its proper divisors (39187720680180).

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

20123424131340 is a wasteful number, since it uses less digits than its factorization.

20123424131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17652126462 (or 17652126460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20123424131340 its reverse (4313142432102), we get a palindrome (24436566563442).

The spelling of 20123424131340 in words is "twenty trillion, one hundred twenty-three billion, four hundred twenty-four million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 17652126431 35304252862 52956379293 70608505724 88260632155 105912758586 176521264310 211825517172 264781896465 335390402189 353042528620 529563792930 670780804378 1006171206567 1059127585860 1341561608756 1676952010945 2012342413134 3353904021890 4024684826268 5030856032835 6707808043780 10061712065670 20123424131340