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42322442100 = 22352429732831
BaseRepresentation
bin100111011010100111…
…010011011101110100
311001020112010211010120
4213122213103131310
51143134021121400
631235340451540
73025534552011
oct473247233564
9131215124116
1042322442100
1116a48a08184
128251849bb0
133cb6284563
142096bdc708
15117a83cca0
hex9da9d3774

42322442100 has 72 divisors (see below), whose sum is σ = 122485160448. Its totient is φ = 11283014400.

The previous prime is 42322442053. The next prime is 42322442101. The reversal of 42322442100 is 124422324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322442101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272685 + ... + 1305515.

It is an arithmetic number, because the mean of its divisors is an integer number (1701182784).

Almost surely, 242322442100 is an apocalyptic number.

It is an amenable number.

42322442100 is an abundant number, since it is smaller than the sum of its proper divisors (80162718348).

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

42322442100 is a wasteful number, since it uses less digits than its factorization.

42322442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37145 (or 37138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42322442100 its reverse (124422324), we get a palindrome (42446864424).

The spelling of 42322442100 in words is "forty-two billion, three hundred twenty-two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4297 8594 12891 17188 21485 25782 32831 42970 51564 64455 65662 85940 98493 107425 128910 131324 164155 196986 214850 257820 322275 328310 393972 429700 492465 644550 656620 820775 984930 1289100 1641550 1969860 2462325 3283100 4924650 9849300 141074807 282149614 423224421 564299228 705374035 846448842 1410748070 1692897684 2116122105 2821496140 3526870175 4232244210 7053740350 8464488420 10580610525 14107480700 21161221050 42322442100