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2031303312 = 243338312277
BaseRepresentation
bin111100100010011…
…0011101010010000
312020120020220022000
41321010303222100
513130003201222
6533321514000
7101223536043
oct17104635220
95216226260
102031303312
11952688275
12488342900
13264ab762c
14153ac6c5a
15bd4e79ac
hex79133a90

2031303312 has 80 divisors (see below), whose sum is σ = 5846292480. Its totient is φ = 675278208.

The previous prime is 2031303283. The next prime is 2031303317. The reversal of 2031303312 is 2133031302.

2031303312 is a `hidden beast` number, since 20 + 31 + 303 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2031303317) 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, 159318 + ... + 171594.

It is an arithmetic number, because the mean of its divisors is an integer number (73078656).

Almost surely, 22031303312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923146240).

2031303312 is an abundant number, since it is smaller than the sum of its proper divisors (3814989168).

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

2031303312 is a wasteful number, since it uses less digits than its factorization.

2031303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2031303312 is about 45069.9823829564. The cubic root of 2031303312 is about 1266.4603343817.

Adding to 2031303312 its reverse (2133031302), we get a palindrome (4164334614).

The spelling of 2031303312 in words is "two billion, thirty-one million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 383 432 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 10341 12277 13788 18384 20682 24554 27576 36831 41364 49108 55152 73662 82728 98216 110493 147324 165456 196432 220986 294648 331479 441972 589296 662958 883944 1325916 1767888 2651832 4702091 5303664 9404182 14106273 18808364 28212546 37616728 42318819 56425092 75233456 84637638 112850184 126956457 169275276 225700368 253912914 338550552 507825828 677101104 1015651656 2031303312