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55103130 = 23256110037
BaseRepresentation
bin1101001000110…
…0111010011010
310211200112021200
43102030322122
5103101300010
65245015030
71236240345
oct322147232
9124615250
1055103130
1129116885
1216554476
13b554104
14746545c
154c86cc0
hex348ce9a

55103130 has 48 divisors (see below), whose sum is σ = 145631304. Its totient is φ = 14451840.

The previous prime is 55103117. The next prime is 55103131. The reversal of 55103130 is 3130155.

It is a happy number.

55103130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24000201 + 31102929 = 4899^2 + 5577^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (55103131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 472 + ... + 10508.

Almost surely, 255103130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72815652).

55103130 is an abundant number, since it is smaller than the sum of its proper divisors (90528174).

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

55103130 is a wasteful number, since it uses less digits than its factorization.

55103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 55103130 is about 7423.1482539419. The cubic root of 55103130 is about 380.5327937164.

Adding to 55103130 its reverse (3130155), we get a palindrome (58233285).

The spelling of 55103130 in words is "fifty-five million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 10037 20074 30111 50185 60222 90333 100370 150555 180666 301110 451665 612257 903330 1224514 1836771 3061285 3673542 5510313 6122570 9183855 11020626 18367710 27551565 55103130