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100214203008 = 273713675697
BaseRepresentation
bin101110101010100111…
…0110110001010000000
3100120200002200222112110
41131111032312022000
53120214313444013
6114012054055320
710145254446033
oct1352516661200
9316602628473
10100214203008
1139556339a87
121750964a540
1395b0cca69a
144bc969d01a
152917e4c2c3
hex17553b6280

100214203008 has 64 divisors (see below), whose sum is σ = 269943261120. Its totient is φ = 32934236160.

The previous prime is 100214202983. The next prime is 100214203039. The reversal of 100214203008 is 800302412001.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1810585 + ... + 1865112.

It is an arithmetic number, because the mean of its divisors is an integer number (4217863455).

Almost surely, 2100214203008 is an apocalyptic number.

It is an amenable number.

100214203008 is an abundant number, since it is smaller than the sum of its proper divisors (169729058112).

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

100214203008 is an equidigital number, since it uses as much as digits as its factorization.

100214203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675785 (or 3675773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100214203008 its reverse (800302412001), we get a palindrome (900516615009).

The spelling of 100214203008 in words is "one hundred billion, two hundred fourteen million, two hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 3675697 7351394 11027091 14702788 22054182 29405576 44108364 58811152 88216728 117622304 176433456 235244608 260974487 352866912 470489216 521948974 705733824 782923461 1043897948 1411467648 1565846922 2087795896 3131693844 4175591792 6263387688 8351183584 12526775376 16702367168 25053550752 33404734336 50107101504 100214203008