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42114320100 = 22325246793689
BaseRepresentation
bin100111001110001101…
…011000011011100100
311000201000112010102100
4213032031120123210
51142222231220400
631202544012100
73020426546226
oct471615303344
9130630463370
1042114320100
1116951488026
1281b4001030
133c82115448
142077304416
15116742c100
hex9ce3586e4

42114320100 has 54 divisors (see below), whose sum is σ = 132004999490. Its totient is φ = 11230485120.

The previous prime is 42114320063. The next prime is 42114320107. The reversal of 42114320100 is 102341124.

42114320100 is a `hidden beast` number, since 421 + 1 + 43 + 201 + 0 + 0 = 666.

42114320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 676832256 + 41437487844 = 26016^2 + 203562^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42114320107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23395945 + ... + 23397744.

Almost surely, 242114320100 is an apocalyptic number.

It is an amenable number.

42114320100 is an abundant number, since it is smaller than the sum of its proper divisors (89890679390).

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

42114320100 is a wasteful number, since it uses less digits than its factorization.

42114320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46793709 (or 46793699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42114320100 its reverse (102341124), we get a palindrome (42216661224).

The spelling of 42114320100 in words is "forty-two billion, one hundred fourteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 46793689 93587378 140381067 187174756 233968445 280762134 421143201 467936890 561524268 701905335 842286402 935873780 1169842225 1403810670 1684572804 2105716005 2339684450 2807621340 3509526675 4211432010 4679368900 7019053350 8422864020 10528580025 14038106700 21057160050 42114320100