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1201314312 = 2332113674133
BaseRepresentation
bin100011110011010…
…1001101000001000
310002201111002102200
41013212221220020
54430014024222
6315112200200
741525001042
oct10746515010
93081432380
101201314312
11567124250
12296399060
13161b64793
14b5792a92
15706e9eac
hex479a9a08

1201314312 has 96 divisors (see below), whose sum is σ = 3559870080. Its totient is φ = 362954880.

The previous prime is 1201314239. The next prime is 1201314343. The reversal of 1201314312 is 2134131021.

1201314312 is a `hidden beast` number, since 1 + 201 + 31 + 431 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 288598 + ... + 292730.

It is an arithmetic number, because the mean of its divisors is an integer number (37081980).

Almost surely, 21201314312 is an apocalyptic number.

1201314312 is a gapful number since it is divisible by the number (12) 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 1201314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779935040).

1201314312 is an abundant number, since it is smaller than the sum of its proper divisors (2358555768).

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

1201314312 is a wasteful number, since it uses less digits than its factorization.

1201314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1201314312 is about 34659.9814194988. The cubic root of 1201314312 is about 1063.0463901036.

Adding to 1201314312 its reverse (2134131021), we get a palindrome (3335445333).

It can be divided in two parts, 1201 and 314312, that added together give a palindrome (315513).

The spelling of 1201314312 in words is "one billion, two hundred one million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 367 396 734 792 1101 1468 2202 2936 3303 4037 4133 4404 6606 8074 8266 8808 12111 12399 13212 16148 16532 24222 24798 26424 32296 33064 36333 37197 45463 48444 49596 72666 74394 90926 96888 99192 136389 145332 148788 181852 272778 290664 297576 363704 409167 545556 818334 1091112 1516811 1636668 3033622 3273336 4550433 6067244 9100866 12134488 13651299 16684921 18201732 27302598 33369842 36403464 50054763 54605196 66739684 100109526 109210392 133479368 150164289 200219052 300328578 400438104 600657156 1201314312