Search a number
-
+
142013021220020 = 2257100651061001
BaseRepresentation
bin100000010010100011111011…
…101011101110110010110100
3200121211022102121210220102102
4200102203323223232302310
5122103220131413020040
61222011514210001232
741625050024241536
oct4022437353566264
9617738377726372
10142013021220020
1141282425230395
1213b170a9576218
136131a02866292
14270d67726b856
15116414070d515
hex8128fbaeecb4

142013021220020 has 12 divisors (see below), whose sum is σ = 298227344562084. Its totient is φ = 56805208488000.

The previous prime is 142013021219987. The next prime is 142013021220041. The reversal of 142013021220020 is 20022120310241.

It can be written as a sum of positive squares in 2 ways, for example, as 20448592528144 + 121564428691876 = 4522012^2 + 11025626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7100651061001 = 142013021220020 / (1 + 4 + 2 + 0 + 1 + 3 + 0 + 2 + 1 + 2 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 142013021219974 and 142013021220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3550325530481 + ... + 3550325530520.

It is an arithmetic number, because the mean of its divisors is an integer number (24852278713507).

Almost surely, 2142013021220020 is an apocalyptic number.

142013021220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142013021220020 is an abundant number, since it is smaller than the sum of its proper divisors (156214323342064).

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

142013021220020 is a wasteful number, since it uses less digits than its factorization.

142013021220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100651061010 (or 7100651061008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142013021220020 its reverse (20022120310241), we get a palindrome (162035141530261).

The spelling of 142013021220020 in words is "one hundred forty-two trillion, thirteen billion, twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 7100651061001 14201302122002 28402604244004 35503255305005 71006510610010 142013021220020