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42132011100 = 22352140440037
BaseRepresentation
bin100111001111010000…
…110111100001011100
311000202020210220220120
4213033100313201130
51142241243323400
631204415114540
73021033120414
oct471720674134
9130666726816
1042132011100
1116960470593
1281b9b12a50
133c8599a8aa
1420797cb644
151168c73ca0
hex9cf43785c

42132011100 has 36 divisors (see below), whose sum is σ = 121901952984. Its totient is φ = 11235202880.

The previous prime is 42132011099. The next prime is 42132011137. The reversal of 42132011100 is 111023124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42132011100.

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 11 ways as a sum of consecutive naturals, for example, 70219719 + ... + 70220318.

Almost surely, 242132011100 is an apocalyptic number.

It is an amenable number.

42132011100 is an abundant number, since it is smaller than the sum of its proper divisors (79769941884).

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

42132011100 is a wasteful number, since it uses less digits than its factorization.

42132011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140440054 (or 140440047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 42132011100 its reverse (111023124), we get a palindrome (42243034224).

The spelling of 42132011100 in words is "forty-two billion, one hundred thirty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 140440037 280880074 421320111 561760148 702200185 842640222 1404400370 1685280444 2106600555 2808800740 3511000925 4213201110 7022001850 8426402220 10533002775 14044003700 21066005550 42132011100