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210143120 = 245112171277
BaseRepresentation
bin11001000011010…
…00011110010000
3112122102101011112
430201220132100
5412244034440
632504032452
75131121105
oct1441503620
9478371145
10210143120
11a8690700
125a462728
13346c9055
141dca2aac
15136ae965
hexc868790

210143120 has 120 divisors (see below), whose sum is σ = 569072952. Its totient is φ = 71864320.

The previous prime is 210143117. The next prime is 210143123. The reversal of 210143120 is 21341012.

It is an interprime number because it is at equal distance from previous prime (210143117) and next prime (210143123).

It can be written as a sum of positive squares in 4 ways, for example, as 57274624 + 152868496 = 7568^2 + 12364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210143095 and 210143104.

It is not an unprimeable number, because it can be changed into a prime (210143123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163922 + ... + 165198.

Almost surely, 2210143120 is an apocalyptic number.

210143120 is a gapful number since it is divisible by the number (20) 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 210143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284536476).

210143120 is an abundant number, since it is smaller than the sum of its proper divisors (358929832).

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

210143120 is a wasteful number, since it uses less digits than its factorization.

210143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 210143120 is about 14496.3140142589. The cubic root of 210143120 is about 594.5271954234.

Adding to 210143120 its reverse (21341012), we get a palindrome (231484132).

The spelling of 210143120 in words is "two hundred ten million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 121 136 170 176 187 220 242 272 340 374 440 484 605 680 748 880 935 968 1210 1277 1360 1496 1870 1936 2057 2420 2554 2992 3740 4114 4840 5108 6385 7480 8228 9680 10216 10285 12770 14047 14960 16456 20432 20570 21709 25540 28094 32912 41140 43418 51080 56188 70235 82280 86836 102160 108545 112376 140470 154517 164560 173672 217090 224752 238799 280940 309034 347344 434180 477598 561880 618068 772585 868360 955196 1123760 1193995 1236136 1545170 1736720 1910392 2387990 2472272 2626789 3090340 3820784 4775980 5253578 6180680 9551960 10507156 12361360 13133945 19103920 21014312 26267890 42028624 52535780 105071560 210143120