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1032000112 = 2411132271987
BaseRepresentation
bin111101100000110…
…001001001110000
32122220220001000101
4331200301021300
54103143000422
6250223202144
734400566453
oct7540611160
92586801011
101032000112
1148a59aa60
12249746354
13135a62670
149b0bb49a
1560902c27
hex3d831270

1032000112 has 80 divisors (see below), whose sum is σ = 2360598912. Its totient is φ = 430882560.

The previous prime is 1032000091. The next prime is 1032000121. The reversal of 1032000112 is 2110002301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 518383 + ... + 520369.

Almost surely, 21032000112 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 1032000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180299456).

1032000112 is an abundant number, since it is smaller than the sum of its proper divisors (1328598800).

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

1032000112 is a wasteful number, since it uses less digits than its factorization.

1032000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1032000112 is about 32124.7585516218. The cubic root of 1032000112 is about 1010.5549059993.

Adding to 1032000112 its reverse (2110002301), we get a palindrome (3142002413).

The spelling of 1032000112 in words is "one billion, thirty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 227 286 454 572 908 1144 1816 1987 2288 2497 2951 3632 3974 4994 5902 7948 9988 11804 15896 19976 21857 23608 25831 31792 32461 39952 43714 47216 51662 64922 87428 103324 129844 174856 206648 259688 284141 349712 413296 451049 519376 568282 902098 1136564 1804196 2273128 3608392 4546256 4961539 5863637 7216784 9923078 11727274 19846156 23454548 39692312 46909096 64500007 79384624 93818192 129000014 258000028 516000056 1032000112