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55131300 = 22335272917
BaseRepresentation
bin1101001001001…
…1110010100100
310211201221221000
43102103302210
5103103200200
65245353300
71236415440
oct322236244
9124657830
1055131300
1129135a64
1216568830
13b563b93
147471820
154c90300
hex3493ca4

55131300 has 144 divisors (see below), whose sum is σ = 202625920. Its totient is φ = 12597120.

The previous prime is 55131277. The next prime is 55131301. The reversal of 55131300 is 313155.

It is a happy number.

55131300 is digitally balanced in base 9, 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 (18).

55131300 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (55131301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17442 + ... + 20358.

Almost surely, 255131300 is an apocalyptic number.

55131300 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 55131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101312960).

55131300 is an abundant number, since it is smaller than the sum of its proper divisors (147494620).

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

55131300 is a wasteful number, since it uses less digits than its factorization.

55131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2934 counting only the distinct ones).

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

The square root of 55131300 is about 7425.0454544063. The cubic root of 55131300 is about 380.5976284037.

Adding to 55131300 its reverse (313155), we get a palindrome (55444455).

The spelling of 55131300 in words is "fifty-five million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 2917 3150 3780 4725 5834 6300 8751 9450 11668 14585 17502 18900 20419 26253 29170 35004 40838 43755 52506 58340 61257 72925 78759 81676 87510 102095 105012 122514 131265 145850 157518 175020 183771 204190 218775 245028 262530 291700 306285 315036 367542 393795 408380 437550 510475 525060 551313 612570 656325 735084 787590 875100 918855 1020950 1102626 1225140 1312650 1531425 1575180 1837710 1968975 2041900 2205252 2625300 2756565 3062850 3675420 3937950 4594275 5513130 6125700 7875900 9188550 11026260 13782825 18377100 27565650 55131300