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42032020212 = 223271397349379
BaseRepresentation
bin100111001001010011…
…011011101011110100
311000111021122212012100
4213021103123223310
51142040144121322
631150444022100
73015410163660
oct471123335364
9130437585170
1042032020212
1116909a85996
128190531930
133c6b05b2a0
14206a3dd8a0
1511600c1dac
hex9c94dbaf4

42032020212 has 288 divisors, whose sum is σ = 132842528000. Its totient is φ = 10910785536.

The previous prime is 42032020211. The next prime is 42032020237. The reversal of 42032020212 is 21202023024.

42032020212 is a `hidden beast` number, since 420 + 32 + 0 + 2 + 0 + 212 = 666.

It is a super-4 number, since 4×420320202124 (a number of 44 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032020211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110902239 + ... + 110902617.

Almost surely, 242032020212 is an apocalyptic number.

42032020212 is a gapful number since it is divisible by the number (42) 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 42032020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66421264000).

42032020212 is an abundant number, since it is smaller than the sum of its proper divisors (90810507788).

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

42032020212 is a wasteful number, since it uses less digits than its factorization.

42032020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

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

Adding to 42032020212 its reverse (21202023024), we get a palindrome (63234043236).

The spelling of 42032020212 in words is "forty-two billion, thirty-two million, twenty thousand, two hundred twelve".