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103030311200 = 2552691186379
BaseRepresentation
bin101111111110100010…
…1011100100100100000
3100211221100201002201212
41133331011130210200
53142001224424300
6115155333045252
710305121124015
oct1377505344440
9324840632655
10103030311200
113a770a19823
1217b74786828
13993c5777ab
144db56b770c
152a302b9935
hex17fd15c920

103030311200 has 72 divisors (see below), whose sum is σ = 251888096880. Its totient is φ = 41152262400.

The previous prime is 103030311187. The next prime is 103030311253. The reversal of 103030311200 is 2113030301.

103030311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 459611 + ... + 645989.

It is an arithmetic number, because the mean of its divisors is an integer number (3498445790).

Almost surely, 2103030311200 is an apocalyptic number.

103030311200 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 103030311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125944048440).

103030311200 is an abundant number, since it is smaller than the sum of its proper divisors (148857785680).

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

103030311200 is a wasteful number, since it uses less digits than its factorization.

103030311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187090 (or 187077 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103030311200 its reverse (2113030301), we get a palindrome (105143341501).

The spelling of 103030311200 in words is "one hundred three billion, thirty million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 691 800 1382 2764 3455 5528 6910 11056 13820 17275 22112 27640 34550 55280 69100 110560 138200 186379 276400 372758 552800 745516 931895 1491032 1863790 2982064 3727580 4659475 5964128 7455160 9318950 14910320 18637900 29820640 37275800 74551600 128787889 149103200 257575778 515151556 643939445 1030303112 1287878890 2060606224 2575757780 3219697225 4121212448 5151515560 6439394450 10303031120 12878788900 20606062240 25757577800 51515155600 103030311200