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100083834426 = 23172323750131
BaseRepresentation
bin101110100110101110…
…1100001111000111010
3100120100000101120110110
41131031131201320322
53114432430200201
6113551115525150
710142112361512
oct1351535417072
9316300346413
10100083834426
1139499796154
1217491a597b6
13958ccb3204
144bb6244842
15290b7996d6
hex174d761e3a

100083834426 has 96 divisors (see below), whose sum is σ = 227550351168. Its totient is φ = 29221378560.

The previous prime is 100083834421. The next prime is 100083834451. The reversal of 100083834426 is 624438380001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100083834421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971381 + ... + 2021511.

It is an arithmetic number, because the mean of its divisors is an integer number (2370316158).

Almost surely, 2100083834426 is an apocalyptic number.

100083834426 is an abundant number, since it is smaller than the sum of its proper divisors (127466516742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100083834426 is a wasteful number, since it uses less digits than its factorization.

100083834426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50236 (or 50213 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 100083834426 in words is "one hundred billion, eighty-three million, eight hundred thirty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 17 23 34 37 46 51 69 74 102 111 138 222 391 529 629 782 851 1058 1173 1258 1587 1702 1887 2346 2553 3174 3774 5106 8993 14467 17986 19573 26979 28934 39146 43401 50131 53958 58719 86802 100262 117438 150393 300786 332741 665482 852227 998223 1153013 1704454 1854847 1996446 2306026 2556681 3459039 3709694 5113362 5564541 6918078 11129082 19601221 26519299 31532399 39202442 42661481 53038598 58803663 63064798 79557897 85322962 94597197 117607326 127984443 159115794 189194394 255968886 450828083 725245177 901656166 981214063 1352484249 1450490354 1962428126 2175735531 2704968498 2943642189 4351471062 5887284378 16680639071 33361278142 50041917213 100083834426