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100104314123 = 11101271503661
BaseRepresentation
bin101110100111010101…
…1101001110100001011
3100120101102221001022202
41131032223221310023
53120003201022443
6113553130510415
710142451426212
oct1351653516413
9316342831282
10100104314123
11394aa303920
121749889540b
139594303a88
144bb8c56079
15290d4927b8
hex174eae9d0b

100104314123 has 32 divisors (see below), whose sum is σ = 111080761344. Its totient is φ = 89456400000.

The previous prime is 100104314047. The next prime is 100104314131. The reversal of 100104314123 is 321413401001.

It is not a de Polignac number, because 100104314123 - 230 = 99030572299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100104314095 and 100104314104.

It is not an unprimeable number, because it can be changed into a prime (100104314623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151443413 + ... + 151444073.

It is an arithmetic number, because the mean of its divisors is an integer number (3471273792).

Almost surely, 2100104314123 is an apocalyptic number.

100104314123 is a deficient number, since it is larger than the sum of its proper divisors (10976447221).

100104314123 is a wasteful number, since it uses less digits than its factorization.

100104314123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100104314123 its reverse (321413401001), we get a palindrome (421517715124).

The spelling of 100104314123 in words is "one hundred billion, one hundred four million, three hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 11 101 271 503 661 1111 2981 5533 7271 27371 50803 66761 136313 179131 301081 332483 558833 734371 1499443 1970441 3657313 13767613 18092231 33580783 90102893 151443743 199014541 369388613 991131823 9100392193 100104314123