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1032043012 = 22711131132281
BaseRepresentation
bin111101100000111…
…011101000000100
32122220222012212021
4331200323220010
54103200334022
6250224132524
734401135520
oct7540735004
92586865767
101032043012
1148a61a210
12249767144
13135a79050
149b0ccd80
15609107c7
hex3d83ba04

1032043012 has 96 divisors (see below), whose sum is σ = 2447472384. Its totient is φ = 367718400.

The previous prime is 1032043003. The next prime is 1032043037. The reversal of 1032043012 is 2103402301.

It is a happy number.

It is a super-2 number, since 2×10320430122 = 2130225557236064288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451312 + ... + 453592.

It is an arithmetic number, because the mean of its divisors is an integer number (25494504).

Almost surely, 21032043012 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 1032043012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223736192).

1032043012 is an abundant number, since it is smaller than the sum of its proper divisors (1415429372).

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

1032043012 is a wasteful number, since it uses less digits than its factorization.

1032043012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1032043012 is about 32125.4262539814. The cubic root of 1032043012 is about 1010.5689086478.

Adding to 1032043012 its reverse (2103402301), we get a palindrome (3135445313).

The spelling of 1032043012 in words is "one billion, thirty-two million, forty-three thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 113 143 154 182 226 286 308 364 452 572 791 1001 1243 1469 1582 2002 2281 2486 2938 3164 4004 4562 4972 5876 8701 9124 10283 15967 16159 17402 20566 25091 29653 31934 32318 34804 41132 50182 59306 63868 64636 100364 113113 118612 175637 207571 226226 257753 326183 351274 415142 452452 515506 652366 702548 830284 1031012 1304732 1804271 2283281 2835283 3350789 3608542 4566562 5670566 6701578 7217084 9133124 11341132 13403156 19846981 23455523 36858679 39693962 46911046 73717358 79387924 93822092 147434716 258010753 516021506 1032043012