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20100100323 = 31931471731399
BaseRepresentation
bin10010101110000011…
…110011000011100011
31220212210212220002010
4102232003303003203
5312131111202243
613122302524003
71311046014402
oct225603630343
956783786063
1020100100323
118584a89966
123a8b596603
131b84354cb4
14d89701639
157c9940433
hex4ae0f30e3

20100100323 has 64 divisors (see below), whose sum is σ = 29933568000. Its totient is φ = 11945854080.

The previous prime is 20100100259. The next prime is 20100100343. The reversal of 20100100323 is 32300100102.

It is a happy number.

It is not a de Polignac number, because 20100100323 - 26 = 20100100259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100100299 and 20100100308.

It is not an unprimeable number, because it can be changed into a prime (20100100343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14366778 + ... + 14368176.

It is an arithmetic number, because the mean of its divisors is an integer number (467712000).

Almost surely, 220100100323 is an apocalyptic number.

20100100323 is a deficient number, since it is larger than the sum of its proper divisors (9833467677).

20100100323 is a wasteful number, since it uses less digits than its factorization.

20100100323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20100100323 its reverse (32300100102), we get a palindrome (52400200425).

The spelling of 20100100323 in words is "twenty billion, one hundred million, one hundred thousand, three hundred twenty-three".

Divisors: 1 3 19 31 47 57 93 141 173 519 589 893 1399 1457 1767 2679 3287 4197 4371 5363 8131 9861 16089 24393 26581 27683 43369 65753 79743 83049 101897 130107 154489 197259 242027 252061 305691 463467 726081 756183 824011 1249307 2038343 2472033 3747921 4598513 4789159 6115029 7502837 11375269 13795539 14367477 22508511 34125807 38728517 116185551 142553903 216130111 352633339 427661709 648390333 1057900017 6700033441 20100100323