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143053205200 = 245213118115083
BaseRepresentation
bin1000010100111010100…
…0101010111011010000
3111200020121211202220021
42011032220222323100
54320433110031300
6145415010353224
713222664116123
oct2051650527320
9450217752807
10143053205200
1155739894424
122388428b814
131064a2b47a9
146cd0d243ba
153ac3cc4d1a
hex214ea2aed0

143053205200 has 120 divisors (see below), whose sum is σ = 348245273376. Its totient is φ = 56467008000.

The previous prime is 143053205177. The next prime is 143053205209. The reversal of 143053205200 is 2502350341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143053205209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9476859 + ... + 9491941.

Almost surely, 2143053205200 is an apocalyptic number.

143053205200 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 143053205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174122636688).

143053205200 is an abundant number, since it is smaller than the sum of its proper divisors (205192068176).

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

143053205200 is a wasteful number, since it uses less digits than its factorization.

143053205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 143053205200 its reverse (2502350341), we get a palindrome (145555555541).

The spelling of 143053205200 in words is "one hundred forty-three billion, fifty-three million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 181 200 262 362 400 524 655 724 905 1048 1310 1448 1810 2096 2620 2896 3275 3620 4525 5240 6550 7240 9050 10480 13100 14480 15083 18100 23711 26200 30166 36200 47422 52400 60332 72400 75415 94844 118555 120664 150830 189688 237110 241328 301660 377075 379376 474220 592775 603320 754150 948440 1185550 1206640 1508300 1896880 1975873 2371100 2730023 3016600 3951746 4742200 5460046 6033200 7903492 9484400 9879365 10920092 13650115 15806984 19758730 21840184 27300230 31613968 39517460 43680368 49396825 54600460 68250575 79034920 98793650 109200920 136501150 158069840 197587300 218401840 273002300 357633013 395174600 546004600 715266026 790349200 1092009200 1430532052 1788165065 2861064104 3576330130 5722128208 7152660260 8940825325 14305320520 17881650650 28610641040 35763301300 71526602600 143053205200