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42023331200 = 275213132291
BaseRepresentation
bin100111001000110010…
…010010010110000000
311000110200022102010002
4213020302102112000
51142030433044300
631145533455132
73015243264404
oct471062222600
9130420272102
1042023331200
1116905090794
1281896414a8
133c69308366
1420691bb104
15115e4575d5
hex9c8c92580

42023331200 has 48 divisors (see below), whose sum is σ = 103810768260. Its totient is φ = 16809331200.

The previous prime is 42023331193. The next prime is 42023331283. The reversal of 42023331200 is 213332024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6562946 + ... + 6569345.

Almost surely, 242023331200 is an apocalyptic number.

42023331200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42023331200 is an abundant number, since it is smaller than the sum of its proper divisors (61787437060).

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

42023331200 is a wasteful number, since it uses less digits than its factorization.

42023331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132315 (or 13132298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42023331200 its reverse (213332024), we get a palindrome (42236663224).

The spelling of 42023331200 in words is "forty-two billion, twenty-three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 13132291 26264582 52529164 65661455 105058328 131322910 210116656 262645820 328307275 420233312 525291640 656614550 840466624 1050583280 1313229100 1680933248 2101166560 2626458200 4202333120 5252916400 8404666240 10505832800 21011665600 42023331200