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102103031322 = 232171093598527
BaseRepresentation
bin101111100010111010…
…0001001111000011010
3100202112201212101212200
41133011310021320122
53133101334000242
6114523330151030
710243131306105
oct1370564117032
9322481771780
10102103031322
113a335554716
1217956122476
13982241c286
144d2849973c
1529c8ba004c
hex17c5d09e1a

102103031322 has 96 divisors (see below), whose sum is σ = 237071577600. Its totient is φ = 31646329344.

The previous prime is 102103031311. The next prime is 102103031323. The reversal of 102103031322 is 223130301201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102103031295 and 102103031304.

It is not an unprimeable number, because it can be changed into a prime (102103031323) 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 47 ways as a sum of consecutive naturals, for example, 11969823 + ... + 11978349.

It is an arithmetic number, because the mean of its divisors is an integer number (2469495600).

Almost surely, 2102103031322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103031322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118535788800).

102103031322 is an abundant number, since it is smaller than the sum of its proper divisors (134968546278).

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

102103031322 is a wasteful number, since it uses less digits than its factorization.

102103031322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102103031322 its reverse (223130301201), we get a palindrome (325233332523).

The spelling of 102103031322 in words is "one hundred two billion, one hundred three million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 359 654 718 981 1077 1853 1962 2154 3231 3706 5559 6103 6462 8527 11118 12206 16677 17054 18309 25581 33354 36618 39131 51162 54927 76743 78262 109854 117393 144959 153486 234786 289918 352179 434877 665227 704358 869754 929443 1304631 1330454 1858886 1995681 2609262 2788329 3061193 3991362 5576658 5987043 6122386 8364987 9183579 11974086 15800531 16729974 18367158 27550737 31601062 47401593 52040281 55101474 94803186 104080562 142204779 156120843 284409558 312241686 333670037 468362529 667340074 936725058 1001010111 2002020222 3003030333 5672390629 6006060666 11344781258 17017171887 34034343774 51051515661 102103031322