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130211200 = 275275813
BaseRepresentation
bin1111100001011…
…01110110000000
3100002000102012001
413300231312000
5231313224300
620530513344
73140530330
oct760556600
9302012161
10130211200
1167556669
1237735854
1320c90962
14134170c0
15b67116a
hex7c2dd80

130211200 has 96 divisors (see below), whose sum is σ = 367677360. Its totient is φ = 44636160.

The previous prime is 130211173. The next prime is 130211209. The reversal of 130211200 is 2112031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211209) 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 11 ways as a sum of consecutive naturals, for example, 19494 + ... + 25306.

Almost surely, 2130211200 is an apocalyptic number.

130211200 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 130211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183838680).

130211200 is an abundant number, since it is smaller than the sum of its proper divisors (237466160).

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

130211200 is an equidigital number, since it uses as much as digits as its factorization.

130211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130211200 is about 11411.0122250395. The cubic root of 130211200 is about 506.8538858749.

Adding to 130211200 its reverse (2112031), we get a palindrome (132323231).

The spelling of 130211200 in words is "one hundred thirty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 5813 11200 11626 22400 23252 29065 40691 46504 58130 81382 93008 116260 145325 162764 186016 203455 232520 290650 325528 372032 406910 465040 581300 651056 744064 813820 930080 1017275 1162600 1302112 1627640 1860160 2034550 2325200 2604224 3255280 3720320 4069100 4650400 5208448 6510560 8138200 9300800 13021120 16276400 18601600 26042240 32552800 65105600 130211200