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103120241224 = 237111319366721
BaseRepresentation
bin110000000001001110…
…0100000001001001000
3100212011121221000112111
41200002130200021020
53142142240204344
6115212304352104
710310262405460
oct1400234401110
9325147830474
10103120241224
113a807762560
1217b9a915634
1399550a3920
144dc3606ba0
152a38130834
hex1802720248

103120241224 has 128 divisors (see below), whose sum is σ = 260952410880. Its totient is φ = 36893491200.

The previous prime is 103120241209. The next prime is 103120241327. The reversal of 103120241224 is 422142021301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103120241195 and 103120241204.

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, 1512184 + ... + 1578904.

It is an arithmetic number, because the mean of its divisors is an integer number (2038690710).

Almost surely, 2103120241224 is an apocalyptic number.

103120241224 is a gapful number since it is divisible by the number (14) 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 103120241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130476205440).

103120241224 is an abundant number, since it is smaller than the sum of its proper divisors (157832169656).

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

103120241224 is a wasteful number, since it uses less digits than its factorization.

103120241224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66951 (or 66947 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 103120241224 its reverse (422142021301), we get a palindrome (525262262525).

The spelling of 103120241224 in words is "one hundred three billion, one hundred twenty million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 193 286 308 364 386 572 616 728 772 1001 1144 1351 1544 2002 2123 2509 2702 4004 4246 5018 5404 8008 8492 10036 10808 14861 16984 17563 20072 27599 29722 35126 55198 59444 66721 70252 110396 118888 133442 140504 193193 220792 266884 386386 467047 533768 733931 772772 867373 934094 1467862 1545544 1734746 1868188 2935724 3469492 3736376 5137517 5871448 6071611 6938984 9541103 10275034 12143222 12877153 19082206 20550068 24286444 25754306 38164412 41100136 48572888 51508612 66787721 76328824 90140071 103017224 133575442 141648683 167402989 180280142 267150884 283297366 334805978 360560284 534301768 566594732 669611956 721120568 991540781 1133189464 1171820923 1339223912 1841432879 1983081562 2343641846 3682865758 3966163124 4687283692 7365731516 7932326248 9374567384 12890030153 14731463032 25780060306 51560120612 103120241224