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100303223321 = 74110123314851
BaseRepresentation
bin101110101101010001…
…0011011101000011001
3100120220022012200110002
41131122202123220121
53120410111121241
6114024554102345
710150415221340
oct1353242335031
9316808180402
10100303223321
11395a1611294
121753341a9b5
1395c6598722
144bd7432b57
152920b8389b
hex175a89ba19

100303223321 has 32 divisors (see below), whose sum is σ = 119107812096. Its totient is φ = 82684800000.

The previous prime is 100303223303. The next prime is 100303223329. The reversal of 100303223321 is 123322303001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100303223321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100303223293 and 100303223302.

It is not an unprimeable number, because it can be changed into a prime (100303223329) 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 31 ways as a sum of consecutive naturals, for example, 6746546 + ... + 6761396.

It is an arithmetic number, because the mean of its divisors is an integer number (3722119128).

Almost surely, 2100303223321 is an apocalyptic number.

It is an amenable number.

100303223321 is a deficient number, since it is larger than the sum of its proper divisors (18804588775).

100303223321 is a wasteful number, since it uses less digits than its factorization.

100303223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100303223321 its reverse (123322303001), we get a palindrome (223625526322).

The spelling of 100303223321 in words is "one hundred billion, three hundred three million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 7 41 101 233 287 707 1631 4141 9553 14851 23533 28987 66871 103957 164731 608891 964853 1499951 3460283 4262237 6753971 10499657 24221981 61497991 141871603 349488583 430485937 993101221 2446420081 14329031903 100303223321