Search a number
-
+
103033443520 = 2657106343271
BaseRepresentation
bin101111111110101000…
…1011001010011000000
3100211221120121020110201
41133331101121103000
53142003030143040
6115155524134544
710305156551110
oct1377521312300
9324846536421
10103033443520
113a772769117
1217b75837454
139940103437
144db5c91040
152a306d7a9a
hex17fd4594c0

103033443520 has 112 divisors (see below), whose sum is σ = 280668423168. Its totient is φ = 35291704320.

The previous prime is 103033443511. The next prime is 103033443521. The reversal of 103033443520 is 25344330301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103033443521) 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 15 ways as a sum of consecutive naturals, for example, 2359485 + ... + 2402755.

It is an arithmetic number, because the mean of its divisors is an integer number (2505968064).

Almost surely, 2103033443520 is an apocalyptic number.

103033443520 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 103033443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140334211584).

103033443520 is an abundant number, since it is smaller than the sum of its proper divisors (177634979648).

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

103033443520 is a wasteful number, since it uses less digits than its factorization.

103033443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44358 (or 44348 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 103033443520 its reverse (25344330301), we get a palindrome (128377773821).

The spelling of 103033443520 in words is "one hundred three billion, thirty-three million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1063 1120 2126 2240 4252 5315 7441 8504 10630 14882 17008 21260 29764 34016 37205 42520 43271 59528 68032 74410 85040 86542 119056 148820 170080 173084 216355 238112 297640 302897 340160 346168 432710 476224 595280 605794 692336 865420 1190560 1211588 1384672 1514485 1730840 2381120 2423176 2769344 3028970 3461680 4846352 6057940 6923360 9692704 12115880 13846720 19385408 24231760 45997073 48463520 91994146 96927040 183988292 229985365 321979511 367976584 459970730 643959022 735953168 919941460 1287918044 1471906336 1609897555 1839882920 2575836088 2943812672 3219795110 3679765840 5151672176 6439590220 7359531680 10303344352 12879180440 14719063360 20606688704 25758360880 51516721760 103033443520