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10100423133 = 32372819773
BaseRepresentation
bin10010110100000100…
…00011100111011101
3222001220201122202200
421122002003213131
5131141202020013
64350131042113
7505204115523
oct113202034735
928056648680
1010100423133
114313475439
121b5a740339
13c4c74b748
146bb624313
153e1ae7e73
hex25a0839dd

10100423133 has 18 divisors (see below), whose sum is σ = 14994486234. Its totient is φ = 6551617824.

The previous prime is 10100423117. The next prime is 10100423149. The reversal of 10100423133 is 33132400101.

10100423133 is a `hidden beast` number, since 10 + 100 + 423 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (10100423117) and next prime (10100423149).

It can be written as a sum of positive squares in 3 ways, for example, as 6486369444 + 3614053689 = 80538^2 + 60117^2 .

It is not a de Polignac number, because 10100423133 - 24 = 10100423117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100423033) 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, 397566 + ... + 422207.

It is an arithmetic number, because the mean of its divisors is an integer number (833027013).

Almost surely, 210100423133 is an apocalyptic number.

It is an amenable number.

10100423133 is a deficient number, since it is larger than the sum of its proper divisors (4894063101).

10100423133 is an equidigital number, since it uses as much as digits as its factorization.

10100423133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819853 (or 819813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10100423133 its reverse (33132400101), we get a palindrome (43232823234).

The spelling of 10100423133 in words is "ten billion, one hundred million, four hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 333 1369 4107 12321 819773 2459319 7377957 30331601 90994803 272984409 1122269237 3366807711 10100423133