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142421324100 = 22352111131672287
BaseRepresentation
bin1000010010100011111…
…0001111000101000100
3111121121120211212222120
42010220332033011010
54313134324332400
6145232155125540
713201222165146
oct2045076170504
9447546755876
10142421324100
1155445140840
12237287438b0
1310579405953
146c7103cc96
153a885aaca0
hex2128f8f144

142421324100 has 288 divisors, whose sum is σ = 456426786816. Its totient is φ = 34001049600.

The previous prime is 142421324077. The next prime is 142421324113. The reversal of 142421324100 is 1423124241.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62273157 + ... + 62275443.

It is an arithmetic number, because the mean of its divisors is an integer number (1584815232).

Almost surely, 2142421324100 is an apocalyptic number.

142421324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142421324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228213393408).

142421324100 is an abundant number, since it is smaller than the sum of its proper divisors (314005462716).

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

142421324100 is a wasteful number, since it uses less digits than its factorization.

142421324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 142421324100 its reverse (1423124241), we get a palindrome (143844448341).

The spelling of 142421324100 in words is "one hundred forty-two billion, four hundred twenty-one million, three hundred twenty-four thousand, one hundred".