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1201241320 = 235314911973
BaseRepresentation
bin100011110011001…
…0111110011101000
310002201100101022021
41013212113303220
54430004210240
6315110434224
741524245166
oct10746276350
93081311267
101201241320
11567084424
12296362974
13161b3a4a6
14b5774236
15706d354a
hex47997ce8

1201241320 has 64 divisors (see below), whose sum is σ = 2797079040. Its totient is φ = 463814400.

The previous prime is 1201241317. The next prime is 1201241333. The reversal of 1201241320 is 231421021.

It is a junction number, because it is equal to n+sod(n) for n = 1201241294 and 1201241303.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 607854 + ... + 609826.

It is an arithmetic number, because the mean of its divisors is an integer number (43704360).

Almost surely, 21201241320 is an apocalyptic number.

1201241320 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 1201241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398539520).

1201241320 is an abundant number, since it is smaller than the sum of its proper divisors (1595837720).

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

1201241320 is a wasteful number, since it uses less digits than its factorization.

1201241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1201241320 is about 34658.9284312138. The cubic root of 1201241320 is about 1063.0248593927.

Adding to 1201241320 its reverse (231421021), we get a palindrome (1432662341).

The spelling of 1201241320 in words is "one billion, two hundred one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 491 620 982 1240 1964 1973 2455 3928 3946 4910 7892 9820 9865 15221 15784 19640 19730 30442 39460 60884 61163 76105 78920 121768 122326 152210 244652 304420 305815 489304 608840 611630 968743 1223260 1937486 2446520 3874972 4843715 7749944 9687430 19374860 30031033 38749720 60062066 120124132 150155165 240248264 300310330 600620660 1201241320