Search a number
-
+
103102242200 = 23521949155259
BaseRepresentation
bin110000000000101011…
…1110101110110011000
3100212010101001120111222
41200001113311312120
53142123133222300
6115210422511212
710306653412256
oct1400127656630
9325111046458
10103102242200
113a7a8589631
1217b94895508
139951441209
144dc107d5d6
152a36777785
hex18015f5d98

103102242200 has 96 divisors (see below), whose sum is σ = 252847656000. Its totient is φ = 38990044800.

The previous prime is 103102242127. The next prime is 103102242251. The reversal of 103102242200 is 2242201301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838171 + ... + 1893429.

It is an arithmetic number, because the mean of its divisors is an integer number (2633829750).

Almost surely, 2103102242200 is an apocalyptic number.

103102242200 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 103102242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126423828000).

103102242200 is an abundant number, since it is smaller than the sum of its proper divisors (149745413800).

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

103102242200 is a wasteful number, since it uses less digits than its factorization.

103102242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55785 (or 55776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 103102242200 its reverse (2242201301), we get a palindrome (105344443501).

The spelling of 103102242200 in words is "one hundred three billion, one hundred two million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 491 760 950 982 1900 1964 2455 3800 3928 4910 9329 9820 12275 18658 19640 24550 37316 46645 49100 55259 74632 93290 98200 110518 186580 221036 233225 276295 373160 442072 466450 552590 932900 1049921 1105180 1381475 1865800 2099842 2210360 2762950 4199684 5249605 5525900 8399368 10499210 11051800 20998420 26248025 27132169 41996840 52496050 54264338 104992100 108528676 135660845 209984200 217057352 271321690 515511211 542643380 678304225 1031022422 1085286760 1356608450 2062044844 2577556055 2713216900 4124089688 5155112110 5426433800 10310224220 12887780275 20620448440 25775560550 51551121100 103102242200