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1023231312 = 243319112401
BaseRepresentation
bin111100111111010…
…100010101010000
32122022101112111000
4330333110111100
54043421400222
6245311222000
734233215445
oct7477242520
92568345430
101023231312
11485650914
12246817900
13133cb231c
1499c779cc
155ec6e9ac
hex3cfd4550

1023231312 has 80 divisors (see below), whose sum is σ = 2952668160. Its totient is φ = 339264000.

The previous prime is 1023231289. The next prime is 1023231323. The reversal of 1023231312 is 2131323201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76312 + ... + 88712.

It is an arithmetic number, because the mean of its divisors is an integer number (36908352).

Almost surely, 21023231312 is an apocalyptic number.

1023231312 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 1023231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476334080).

1023231312 is an abundant number, since it is smaller than the sum of its proper divisors (1929436848).

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

1023231312 is a wasteful number, since it uses less digits than its factorization.

1023231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023231312 is about 31987.9869951205. The cubic root of 1023231312 is about 1007.6845668348.

Adding to 1023231312 its reverse (2131323201), we get a palindrome (3154554513).

The spelling of 1023231312 in words is "one billion, twenty-three million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 573 764 1146 1528 1719 2292 3056 3438 4584 5157 6876 9168 10314 12401 13752 20628 24802 27504 37203 41256 49604 74406 82512 99208 111609 148812 198416 223218 297624 334827 446436 595248 669654 892872 1339308 1785744 2368591 2678616 4737182 5357232 7105773 9474364 14211546 18948728 21317319 28423092 37897456 42634638 56846184 63951957 85269276 113692368 127903914 170538552 255807828 341077104 511615656 1023231312