Search a number
-
+
10033330032 = 243511234599
BaseRepresentation
bin10010101100000100…
…00111011101110000
3221220020110222100000
421112002013131300
5131022013030112
64335333030000
7503430620025
oct112602073560
927806428300
1010033330032
11428960a3a0
121b40185300
13c3b88a09b
146b275b54c
153dac937dc
hex256087770

10033330032 has 120 divisors (see below), whose sum is σ = 31766716800. Its totient is φ = 3040390080.

The previous prime is 10033329967. The next prime is 10033330033. The reversal of 10033330032 is 23003333001.

10033330032 is a `hidden beast` number, since 1 + 0 + 0 + 333 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033329987 and 10033330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033330033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74532 + ... + 160067.

It is an arithmetic number, because the mean of its divisors is an integer number (264722640).

Almost surely, 210033330032 is an apocalyptic number.

10033330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033330032 is an abundant number, since it is smaller than the sum of its proper divisors (21733386768).

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

10033330032 is a wasteful number, since it uses less digits than its factorization.

10033330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234633 (or 234615 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 10033330032 its reverse (23003333001), we get a palindrome (33036663033).

The spelling of 10033330032 in words is "ten billion, thirty-three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 234599 469198 703797 938396 1407594 1876792 2111391 2580589 2815188 3753584 4222782 5161178 5630376 6334173 7741767 8445564 10322356 11260752 12668346 15483534 16891128 19002519 20644712 23225301 25336692 30967068 33782256 38005038 41289424 46450602 50673384 57007557 61934136 69675903 76010076 92901204 101346768 114015114 123868272 139351806 152020152 185802408 209027709 228030228 278703612 304040304 371604816 418055418 456060456 557407224 627083127 836110836 912120912 1114814448 1254166254 1672221672 2508332508 3344443344 5016665016 10033330032