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1201200210 = 232572272381
BaseRepresentation
bin100011110011000…
…1101110001010010
310002201021021220200
41013212031301102
54430001401320
6315105520030
741524014300
oct10746156122
93081237820
101201200210
11567056551
12296343016
13161b24872
14b5763270
15706c6290
hex4798dc52

1201200210 has 72 divisors (see below), whose sum is σ = 3633031116. Its totient is φ = 274559040.

The previous prime is 1201200199. The next prime is 1201200233. The reversal of 1201200210 is 120021021.

It can be written as a sum of positive squares in 2 ways, for example, as 1176009849 + 25190361 = 34293^2 + 5019^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1201200192 and 1201200201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131781 + ... + 140600.

Almost surely, 21201200210 is an apocalyptic number.

1201200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201200210 is an abundant number, since it is smaller than the sum of its proper divisors (2431830906).

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

1201200210 is a wasteful number, since it uses less digits than its factorization.

1201200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272408 (or 272398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201200210 is about 34658.3353610643. The cubic root of 1201200210 is about 1063.0127326452.

Adding to 1201200210 its reverse (120021021), we get a palindrome (1321221231).

The spelling of 1201200210 in words is "one billion, two hundred one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 272381 544762 817143 1361905 1634286 1906667 2451429 2723810 3813334 4085715 4902858 5720001 8171430 9533335 11440002 12257145 13346669 17160003 19066670 24514290 26693338 28600005 34320006 40040007 57200010 66733345 80080014 85800015 120120021 133466690 171600030 200200035 240240042 400400070 600600105 1201200210