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32430100104 = 23323712173461
BaseRepresentation
bin11110001100111111…
…000000111010001000
310002201002221210000200
4132030333000322020
51012404101200404
622522001332200
72225435205543
oct361477007210
9102632853020
1032430100104
1112831a45226
126350937060
13309a98c45c
1417d90a185a
15c9c148839
hex78cfc0e88

32430100104 has 48 divisors (see below), whose sum is σ = 90205353420. Its totient is φ = 10517869440.

The previous prime is 32430100081. The next prime is 32430100111. The reversal of 32430100104 is 40100103423.

32430100104 is a `hidden beast` number, since 32 + 430 + 100 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32281308900 + 148791204 = 179670^2 + 12198^2 .

It is a super-2 number, since 2×324301001042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6084067 + ... + 6089394.

Almost surely, 232430100104 is an apocalyptic number.

It is an amenable number.

32430100104 is an abundant number, since it is smaller than the sum of its proper divisors (57775253316).

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

32430100104 is a wasteful number, since it uses less digits than its factorization.

32430100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173510 (or 12173503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32430100104 its reverse (40100103423), we get a palindrome (72530203527).

The spelling of 32430100104 in words is "thirty-two billion, four hundred thirty million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 12173461 24346922 36520383 48693844 73040766 97387688 109561149 146081532 219122298 292163064 438244596 450418057 876489192 900836114 1351254171 1801672228 2702508342 3603344456 4053762513 5405016684 8107525026 10810033368 16215050052 32430100104