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1201310220 = 2235112776571
BaseRepresentation
bin100011110011010…
…1000101000001100
310002201110212211010
41013212220220030
54430013411340
6315112125220
741524653105
oct10746505014
93081425733
101201310220
11567121170
12296396810
13161b62966
14b57913ac
15706e8b80
hex479a8a0c

1201310220 has 96 divisors (see below), whose sum is σ = 3683264256. Its totient is φ = 290131200.

The previous prime is 1201310203. The next prime is 1201310237. The reversal of 1201310220 is 220131021.

It is an interprime number because it is at equal distance from previous prime (1201310203) and next prime (1201310237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1201310196 and 1201310205.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 179535 + ... + 186105.

It is an arithmetic number, because the mean of its divisors is an integer number (38367336).

Almost surely, 21201310220 is an apocalyptic number.

1201310220 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 1201310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841632128).

1201310220 is an abundant number, since it is smaller than the sum of its proper divisors (2481954036).

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

1201310220 is a wasteful number, since it uses less digits than its factorization.

1201310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1201310220 is about 34659.9223888341. The cubic root of 1201310220 is about 1063.0451830949.

Adding to 1201310220 its reverse (220131021), we get a palindrome (1421441241).

The spelling of 1201310220 in words is "one billion, two hundred one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 277 330 554 660 831 1108 1385 1662 2770 3047 3324 4155 5540 6094 6571 8310 9141 12188 13142 15235 16620 18282 19713 26284 30470 32855 36564 39426 45705 60940 65710 72281 78852 91410 98565 131420 144562 182820 197130 216843 289124 361405 394260 433686 722810 867372 1084215 1445620 1820167 2168430 3640334 4336860 5460501 7280668 9100835 10921002 18201670 20021837 21842004 27302505 36403340 40043674 54605010 60065511 80087348 100109185 109210020 120131022 200218370 240262044 300327555 400436740 600655110 1201310220