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55101300 = 22352613011
BaseRepresentation
bin1101001000110…
…0011101110100
310211200102202220
43102030131310
5103101220200
65245002340
71236232122
oct322143564
9124612686
1055101300
1129115471
12165533b0
13b553327
147464912
154c864a0
hex348c774

55101300 has 72 divisors (see below), whose sum is σ = 162093792. Its totient is φ = 14448000.

The previous prime is 55101289. The next prime is 55101313. The reversal of 55101300 is 310155.

55101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 55101300.

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 23 ways as a sum of consecutive naturals, for example, 16795 + ... + 19805.

Almost surely, 255101300 is an apocalyptic number.

55101300 is a gapful number since it is divisible by the number (50) 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 55101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81046896).

55101300 is an abundant number, since it is smaller than the sum of its proper divisors (106992492).

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

55101300 is a wasteful number, since it uses less digits than its factorization.

55101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 55101300 is about 7423.0249898542. The cubic root of 55101300 is about 380.5285811140.

Adding to 55101300 its reverse (310155), we get a palindrome (55411455).

The spelling of 55101300 in words is "fifty-five million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3011 3050 3660 4575 6022 6100 9033 9150 12044 15055 18066 18300 30110 36132 45165 60220 75275 90330 150550 180660 183671 225825 301100 367342 451650 551013 734684 903300 918355 1102026 1836710 2204052 2755065 3673420 4591775 5510130 9183550 11020260 13775325 18367100 27550650 55101300