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13103020242 = 235132119829
BaseRepresentation
bin11000011010000000…
…00011100011010010
31020211011122101200000
430031000003203102
5203313333121432
610004111110430
7642463556124
oct141500034322
936734571600
1013103020242
11561434a054
122658212416
13130a832120
148c4305214
1551a50157c
hex30d0038d2

13103020242 has 96 divisors (see below), whose sum is σ = 31859580480. Its totient is φ = 4012182720.

The previous prime is 13103020169. The next prime is 13103020247. The reversal of 13103020242 is 24202030131.

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

It is not an unprimeable number, because it can be changed into a prime (13103020247) 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, 1328184 + ... + 1338012.

It is an arithmetic number, because the mean of its divisors is an integer number (331870630).

Almost surely, 213103020242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103020242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929790240).

13103020242 is an abundant number, since it is smaller than the sum of its proper divisors (18756560238).

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

13103020242 is a wasteful number, since it uses less digits than its factorization.

13103020242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13103020242 its reverse (24202030131), we get a palindrome (37305050373).

The spelling of 13103020242 in words is "thirteen billion, one hundred three million, twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 211 234 243 351 422 486 633 702 1053 1266 1899 2106 2743 3159 3798 5486 5697 6318 8229 9829 11394 16458 17091 19658 24687 29487 34182 49374 51273 58974 74061 88461 102546 127777 148122 176922 222183 255554 265383 383331 444366 530766 666549 766662 796149 1149993 1333098 1592298 2073919 2299986 2388447 3449979 4147838 4776894 6221757 6899958 10349937 12443514 18665271 20699874 26960947 31049811 37330542 53921894 55995813 62099622 80882841 111991626 161765682 167987439 242648523 335974878 485297046 503962317 727945569 1007924634 1455891138 2183836707 4367673414 6551510121 13103020242