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1033135012 = 227213478627
BaseRepresentation
bin111101100101000…
…110001110100100
32200000000200210201
4331211012032210
54103440310022
6250303400244
734413334300
oct7545061644
92600020721
101033135012
114901a5698
12249bb3084
1313606c0c0
149b2d4d00
1560a79127
hex3d9463a4

1033135012 has 72 divisors (see below), whose sum is σ = 2313408384. Its totient is φ = 399970368.

The previous prime is 1033134961. The next prime is 1033135039. The reversal of 1033135012 is 2105313301.

1033135012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115443 + ... + 124069.

It is an arithmetic number, because the mean of its divisors is an integer number (32130672).

Almost surely, 21033135012 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 1033135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156704192).

1033135012 is an abundant number, since it is smaller than the sum of its proper divisors (1280273372).

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

1033135012 is a wasteful number, since it uses less digits than its factorization.

1033135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1033135012 is about 32142.4176439794. The cubic root of 1033135012 is about 1010.9252091272.

Adding to 1033135012 its reverse (2105313301), we get a palindrome (3138448313).

The spelling of 1033135012 in words is "one billion, thirty-three million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 47 49 52 91 94 98 182 188 196 329 364 611 637 658 1222 1274 1316 2303 2444 2548 4277 4606 8554 8627 9212 17108 17254 29939 34508 59878 60389 112151 119756 120778 224302 241556 405469 422723 448604 785057 810938 845446 1570114 1621876 1690892 2838283 3140228 5271097 5495399 5676566 10542194 10990798 11353132 19867981 21084388 21981596 36897679 39735962 73795358 79471924 147590716 258283753 516567506 1033135012