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103030301120 = 265677475583
BaseRepresentation
bin101111111110100010…
…1011010000111000000
3100211221100200120220112
41133331011122013000
53142001224113440
6115155332530452
710305121052435
oct1377505320700
9324840616815
10103030301120
113a770a1219a
1217b74780a28
13993c573026
144db56b3b8c
152a302b6965
hex17fd15a1c0

103030301120 has 56 divisors (see below), whose sum is σ = 245703815424. Its totient is φ = 41151159296.

The previous prime is 103030301089. The next prime is 103030301159. The reversal of 103030301120 is 21103030301.

103030301120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103030301095 and 103030301104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21152 + ... + 454431.

Almost surely, 2103030301120 is an apocalyptic number.

103030301120 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 103030301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122851907712).

103030301120 is an abundant number, since it is smaller than the sum of its proper divisors (142673514304).

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

103030301120 is an equidigital number, since it uses as much as digits as its factorization.

103030301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476277 (or 476267 counting only the distinct ones).

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

Adding to 103030301120 its reverse (21103030301), we get a palindrome (124133331421).

The spelling of 103030301120 in words is "one hundred three billion, thirty million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 677 1354 2708 3385 5416 6770 10832 13540 21664 27080 43328 54160 108320 216640 475583 951166 1902332 2377915 3804664 4755830 7609328 9511660 15218656 19023320 30437312 38046640 76093280 152186560 321969691 643939382 1287878764 1609848455 2575757528 3219696910 5151515056 6439393820 10303030112 12878787640 20606060224 25757575280 51515150560 103030301120