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200203120 = 245131631181
BaseRepresentation
bin10111110111011…
…01101101110000
3111221201101001101
423323231231300
5402222444440
631511014144
74650461365
oct1373555560
9457641041
10200203120
11a3011627
125706a354
13326288b0
141c83646c
151289969a
hexbeedb70

200203120 has 80 divisors (see below), whose sum is σ = 504780192. Its totient is φ = 73405440.

The previous prime is 200203051. The next prime is 200203121. The reversal of 200203120 is 21302002.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 200203097 and 200203106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200203121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168930 + ... + 170110.

Almost surely, 2200203120 is an apocalyptic number.

200203120 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 200203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252390096).

200203120 is an abundant number, since it is smaller than the sum of its proper divisors (304577072).

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

200203120 is a wasteful number, since it uses less digits than its factorization.

200203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200203120 is about 14149.3151777745. The cubic root of 200203120 is about 585.0014561534.

Adding to 200203120 its reverse (21302002), we get a palindrome (221505122).

The spelling of 200203120 in words is "two hundred million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 163 208 260 326 520 652 815 1040 1181 1304 1630 2119 2362 2608 3260 4238 4724 5905 6520 8476 9448 10595 11810 13040 15353 16952 18896 21190 23620 30706 33904 42380 47240 61412 76765 84760 94480 122824 153530 169520 192503 245648 307060 385006 614120 770012 962515 1228240 1540024 1925030 2502539 3080048 3850060 5005078 7700120 10010156 12512695 15400240 20020312 25025390 40040624 50050780 100101560 200203120