Search a number
-
+
1042133310 = 233510633631
BaseRepresentation
bin111110000111011…
…011000100111110
32200121221212011000
4332013123010332
54113241231220
6251224311130
734552662351
oct7607330476
92617855130
101042133310
114952911a9
122510124a6
13137b9ca3a
149c598298
1561755390
hex3e1db13e

1042133310 has 64 divisors (see below), whose sum is σ = 2782402560. Its totient is φ = 277564320.

The previous prime is 1042133263. The next prime is 1042133311. The reversal of 1042133310 is 133312401.

It is a super-2 number, since 2×10421333102 = 2172083671623112200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042133311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285195 + ... + 288825.

It is an arithmetic number, because the mean of its divisors is an integer number (43475040).

Almost surely, 21042133310 is an apocalyptic number.

1042133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042133310 is an abundant number, since it is smaller than the sum of its proper divisors (1740269250).

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

1042133310 is a wasteful number, since it uses less digits than its factorization.

1042133310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4704 counting only the distinct ones).

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

The square root of 1042133310 is about 32282.0896163802. The cubic root of 1042133310 is about 1013.8516816782.

Adding to 1042133310 its reverse (133312401), we get a palindrome (1175445711).

The spelling of 1042133310 in words is "one billion, forty-two million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1063 2126 3189 3631 5315 6378 7262 9567 10630 10893 15945 18155 19134 21786 28701 31890 32679 36310 47835 54465 57402 65358 95670 98037 108930 143505 163395 196074 287010 326790 490185 980370 3859753 7719506 11579259 19298765 23158518 34737777 38597530 57896295 69475554 104213331 115792590 173688885 208426662 347377770 521066655 1042133310