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100023221103 = 3134327319001
BaseRepresentation
bin101110100100111011…
…0010011101101101111
3100120011210100002121120
41131021312103231233
53114321421033403
6113541112432023
710140445231341
oct1351166235557
9316153302546
10100023221103
11394685564a3
12174756a8613
139580580040
144bac187291
1529062c4e53
hex1749d93b6f

100023221103 has 48 divisors (see below), whose sum is σ = 149062937184. Its totient is φ = 59294592000.

The previous prime is 100023221071. The next prime is 100023221131. The reversal of 100023221103 is 301122320001.

It is not a de Polignac number, because 100023221103 - 25 = 100023221071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023221143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5254603 + ... + 5273603.

It is an arithmetic number, because the mean of its divisors is an integer number (3105477858).

Almost surely, 2100023221103 is an apocalyptic number.

100023221103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100023221103 is a deficient number, since it is larger than the sum of its proper divisors (49039716081).

100023221103 is a wasteful number, since it uses less digits than its factorization.

100023221103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19176 (or 19133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100023221103 its reverse (301122320001), we get a palindrome (401145541104).

The spelling of 100023221103 in words is "one hundred billion, twenty-three million, two hundred twenty-one thousand, one hundred three".

Divisors: 1 3 13 39 43 73 129 219 559 949 1677 1849 2847 3139 5547 9417 19001 24037 40807 57003 72111 122421 134977 247013 404931 741039 817043 1387073 1754701 2451129 4161219 5264103 10621559 18031949 31864677 35132849 54095847 59644139 105398547 178932417 456727037 775373807 1370181111 2326121421 2564697977 7694093931 33341073701 100023221103