Search a number
-
+
10033022010 = 23511191938291
BaseRepresentation
bin10010101100000001…
…11100010000111010
3221220012220022210210
421112000330100322
5131021423201020
64335322251550
7503425165014
oct112600742072
927805808723
1010033022010
114289419a30
121b40056bb6
13c3b7acb1b
146b26bb1b4
153dac323e0
hex25603c43a

10033022010 has 128 divisors (see below), whose sum is σ = 27797437440. Its totient is φ = 2292019200.

The previous prime is 10033021987. The next prime is 10033022011. The reversal of 10033022010 is 1022033001.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10033022011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205965 + ... + 1214255.

It is an arithmetic number, because the mean of its divisors is an integer number (217167480).

Almost surely, 210033022010 is an apocalyptic number.

10033022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898718720).

10033022010 is an abundant number, since it is smaller than the sum of its proper divisors (17764415430).

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

10033022010 is a wasteful number, since it uses less digits than its factorization.

10033022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10033022010 its reverse (1022033001), we get a palindrome (11055055011).

The spelling of 10033022010 in words is "ten billion, thirty-three million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 193 209 285 330 386 418 570 579 627 965 1045 1158 1254 1930 2090 2123 2895 3135 3667 4246 5790 6270 6369 7334 8291 10615 11001 12738 16582 18335 21230 22002 24873 31845 36670 40337 41455 49746 55005 63690 80674 82910 91201 110010 121011 124365 157529 182402 201685 242022 248730 273603 315058 403370 456005 472587 547206 605055 787645 912010 945174 1210110 1368015 1575290 1600163 1732819 2362935 2736030 3200326 3465638 4725870 4800489 5198457 8000815 8664095 9600978 10396914 16001630 17328190 17601793 24002445 25992285 30403097 35203586 48004890 51984570 52805379 60806194 88008965 91209291 105610758 152015485 176017930 182418582 264026895 304030970 334434067 456046455 528053790 668868134 912092910 1003302201 1672170335 2006604402 3344340670 5016511005 10033022010