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42132002420 = 2252106600121
BaseRepresentation
bin100111001111010000…
…110101011001110100
311000202020210111000002
4213033100311121310
51142241243034140
631204415010432
73021033053204
oct471720653164
9130666714002
1042132002420
1116960465012
1281b9b09a18
133c85996961
1420797c8404
151168c71415
hex9cf435674

42132002420 has 12 divisors (see below), whose sum is σ = 88477205124. Its totient is φ = 16852800960.

The previous prime is 42132002413. The next prime is 42132002441. The reversal of 42132002420 is 2420023124.

It can be written as a sum of positive squares in 2 ways, for example, as 31543180816 + 10588821604 = 177604^2 + 102902^2 .

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: 2106600121 = 42132002420 / (4 + 2 + 1 + 3 + 2 + 0 + 0 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 42132002392 and 42132002401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053300041 + ... + 1053300080.

It is an arithmetic number, because the mean of its divisors is an integer number (7373100427).

Almost surely, 242132002420 is an apocalyptic number.

It is an amenable number.

42132002420 is an abundant number, since it is smaller than the sum of its proper divisors (46345202704).

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

42132002420 is a wasteful number, since it uses less digits than its factorization.

42132002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106600130 (or 2106600128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42132002420 its reverse (2420023124), we get a palindrome (44552025544).

The spelling of 42132002420 in words is "forty-two billion, one hundred thirty-two million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2106600121 4213200242 8426400484 10533000605 21066001210 42132002420