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103114102340 = 225431134392417
BaseRepresentation
bin110000000001000010…
…1000101011001000100
3100212011012101010120102
41200002011011121010
53142134202233330
6115211525023232
710310156260034
oct1400205053104
9325135333512
10103114102340
113a80424a2a7
1217b98854b18
139953a34652
144dc28898c4
152a3781b945
hex1802145644

103114102340 has 96 divisors (see below), whose sum is σ = 224138154240. Its totient is φ = 39822483456.

The previous prime is 103114102331. The next prime is 103114102349. The reversal of 103114102340 is 43201411301.

It is an interprime number because it is at equal distance from previous prime (103114102331) and next prime (103114102349).

It is a super-4 number, since 4×1031141023404 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103114102349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42660812 + ... + 42663228.

It is an arithmetic number, because the mean of its divisors is an integer number (2334772440).

Almost surely, 2103114102340 is an apocalyptic number.

103114102340 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 103114102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112069077120).

103114102340 is an abundant number, since it is smaller than the sum of its proper divisors (121024051900).

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

103114102340 is a wasteful number, since it uses less digits than its factorization.

103114102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

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

Adding to 103114102340 its reverse (43201411301), we get a palindrome (146315513641).

The spelling of 103114102340 in words is "one hundred three billion, one hundred fourteen million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 113 172 215 226 430 439 452 565 860 878 1130 1756 2195 2260 2417 4390 4834 4859 8780 9668 9718 12085 18877 19436 24170 24295 37754 48340 48590 49607 75508 94385 97180 99214 103931 188770 198428 207862 248035 273121 377540 415724 496070 519655 546242 992140 1039310 1061063 1092484 1365605 2078620 2122126 2133101 2731210 4244252 4266202 5305315 5462420 8532404 10610630 10665505 11744203 21221260 21331010 23488406 42662020 45625709 46976812 58721015 91251418 117442030 119900119 182502836 228128545 234884060 239800238 456257090 479600476 599500595 912514180 1199001190 2398002380 5155705117 10311410234 20622820468 25778525585 51557051170 103114102340