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100022010003 = 3311332783353
BaseRepresentation
bin101110100100111000…
…1101100000010010011
3100120011201001120022000
41131021301230002103
53114321113310003
6113541030445043
710140432025416
oct1351161540223
9316151046260
10100022010003
11394678a9593
1217475203783
139580247a06
144babd4db7d
1529061361a3
hex1749c6c093

100022010003 has 16 divisors (see below), whose sum is σ = 149492094240. Its totient is φ = 66091237632.

The previous prime is 100022009987. The next prime is 100022010013. The reversal of 100022010003 is 300010220001.

It is a happy number.

It is not a de Polignac number, because 100022010003 - 24 = 100022009987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100022010013) 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 15 ways as a sum of consecutive naturals, for example, 16388626 + ... + 16394727.

It is an arithmetic number, because the mean of its divisors is an integer number (9343255890).

Almost surely, 2100022010003 is an apocalyptic number.

100022010003 is a deficient number, since it is larger than the sum of its proper divisors (49470084237).

100022010003 is a wasteful number, since it uses less digits than its factorization.

100022010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32783475 (or 32783469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100022010003 its reverse (300010220001), we get a palindrome (400032230004).

The spelling of 100022010003 in words is "one hundred billion, twenty-two million, ten thousand, three".

Divisors: 1 3 9 27 113 339 1017 3051 32783353 98350059 295050177 885150531 3704518889 11113556667 33340670001 100022010003