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42132022020 = 22345116433677
BaseRepresentation
bin100111001111010000…
…111010001100000100
311000202020211110220000
4213033100322030010
51142241244201040
631204415241300
73021033164304
oct471720721404
9130666743800
1042132022020
1116960478810
1281b9b19230
133c859a285a
1420797d1604
151168c77130
hex9cf43a304

42132022020 has 240 divisors, whose sum is σ = 144448653888. Its totient is φ = 10195165440.

The previous prime is 42132022007. The next prime is 42132022043. The reversal of 42132022020 is 2022023124.

42132022020 is a `hidden beast` number, since 421 + 3 + 2 + 0 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42132021984 and 42132022002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456422 + ... + 11460098.

Almost surely, 242132022020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42132022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72224326944).

42132022020 is an abundant number, since it is smaller than the sum of its proper divisors (102316631868).

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

42132022020 is a wasteful number, since it uses less digits than its factorization.

42132022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42132022020 its reverse (2022023124), we get a palindrome (44154045144).

The spelling of 42132022020 in words is "forty-two billion, one hundred thirty-two million, twenty-two thousand, twenty".