Search a number
-
+
103250232560 = 245109109110853
BaseRepresentation
bin110000000101000110…
…0011000010011110000
3100212111200112021010102
41200022030120103300
53142424024420220
6115233230451532
710313431332116
oct1401214302360
9325450467112
10103250232560
113a874078a12
1218016363ba8
139975cb8487
144dd69a3ab6
152a4475b775
hex180a3184f0

103250232560 has 80 divisors (see below), whose sum is σ = 242503541280. Its totient is φ = 40879918080.

The previous prime is 103250232511. The next prime is 103250232571. The reversal of 103250232560 is 65232052301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1032502325602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9508094 + ... + 9518946.

It is an arithmetic number, because the mean of its divisors is an integer number (3031294266).

Almost surely, 2103250232560 is an apocalyptic number.

103250232560 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 103250232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121251770640).

103250232560 is an abundant number, since it is smaller than the sum of its proper divisors (139253308720).

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

103250232560 is a wasteful number, since it uses less digits than its factorization.

103250232560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 103250232560 its reverse (65232052301), we get a palindrome (168482284861).

The spelling of 103250232560 in words is "one hundred three billion, two hundred fifty million, two hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1091 1744 2180 2182 4360 4364 5455 8720 8728 10853 10910 17456 21706 21820 43412 43640 54265 86824 87280 108530 118919 173648 217060 237838 434120 475676 594595 868240 951352 1182977 1189190 1902704 2365954 2378380 4731908 4756760 5914885 9463816 9513520 11829770 11840623 18927632 23659540 23681246 47319080 47362492 59203115 94638160 94724984 118406230 189449968 236812460 473624920 947249840 1290627907 2581255814 5162511628 6453139535 10325023256 12906279070 20650046512 25812558140 51625116280 103250232560