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101100310003 = 7111777234767
BaseRepresentation
bin101111000101000001…
…1000100110111110011
3100122221212001212211001
41132022003010313303
53124023134410003
6114240030302431
710206234312250
oct1361203046763
9318855055731
10101100310003
1139970542310
1217716357a17
1396c276b554
144c71240427
15296ab3261d
hex178a0c4df3

101100310003 has 16 divisors (see below), whose sum is σ = 133461679104. Its totient is φ = 74145375360.

The previous prime is 101100309997. The next prime is 101100310021. The reversal of 101100310003 is 300013001101.

It is a de Polignac number, because none of the positive numbers 2k-101100310003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100310093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38616075 + ... + 38618692.

It is an arithmetic number, because the mean of its divisors is an integer number (8341354944).

Almost surely, 2101100310003 is an apocalyptic number.

101100310003 is a deficient number, since it is larger than the sum of its proper divisors (32361369101).

101100310003 is a wasteful number, since it uses less digits than its factorization.

101100310003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77234802.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101100310003 its reverse (300013001101), we get a palindrome (401113311104).

The spelling of 101100310003 in words is "one hundred one billion, one hundred million, three hundred ten thousand, three".

Divisors: 1 7 11 17 77 119 187 1309 77234767 540643369 849582437 1312991039 5947077059 9190937273 14442901429 101100310003