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102103444240 = 245735370207
BaseRepresentation
bin101111100010111010…
…1101110101100010000
3100202112202122101021221
41133011311232230100
53133101440203430
6114523343054424
710243134646000
oct1370565565420
9322482571257
10102103444240
113a335806976
12179562a1414
1398225351c5
144d28566000
1529c8c3257a
hex17c5d6eb10

102103444240 has 160 divisors (see below), whose sum is σ = 282067660800. Its totient is φ = 34345898496.

The previous prime is 102103444211. The next prime is 102103444259. The reversal of 102103444240 is 42444301201.

It is a super-2 number, since 2×1021034442402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419217 + ... + 1489423.

It is an arithmetic number, because the mean of its divisors is an integer number (1762922880).

Almost surely, 2102103444240 is an apocalyptic number.

102103444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141033830400).

102103444240 is an abundant number, since it is smaller than the sum of its proper divisors (179964216560).

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

102103444240 is an equidigital number, since it uses as much as digits as its factorization.

102103444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70294 (or 70274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102103444240 its reverse (42444301201), we get a palindrome (144547745441).

The spelling of 102103444240 in words is "one hundred two billion, one hundred three million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 196 212 245 265 280 343 371 392 424 490 530 560 686 742 784 848 980 1060 1372 1484 1715 1855 1960 2120 2597 2744 2968 3430 3710 3920 4240 5194 5488 5936 6860 7420 10388 12985 13720 14840 18179 20776 25970 27440 29680 36358 41552 51940 70207 72716 90895 103880 140414 145432 181790 207760 280828 290864 351035 363580 491449 561656 702070 727160 982898 1123312 1404140 1454320 1965796 2457245 2808280 3440143 3720971 3931592 4914490 5616560 6880286 7441942 7863184 9828980 13760572 14883884 17200715 18604855 19657960 24081001 26046797 27521144 29767768 34401430 37209710 39315920 48162002 52093594 55042288 59535536 68802860 74419420 96324004 104187188 120405005 130233985 137605720 148838840 182327579 192648008 208374376 240810010 260467970 275211440 297677680 364655158 385296016 416748752 481620020 520935940 729310316 911637895 963240040 1041871880 1276293053 1458620632 1823275790 1926480080 2083743760 2552586106 2917241264 3646551580 5105172212 6381465265 7293103160 10210344424 12762930530 14586206320 20420688848 25525861060 51051722120 102103444240