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10033302114 = 23311178311971
BaseRepresentation
bin10010101100000100…
…00000101001100010
3221220020102120001000
421112002000221202
5131022011131424
64335332252430
7503430442443
oct112602005142
927806376030
1010033302114
1142895a0420
121b40171116
13c3b87a474
146b27512ca
153dac8a3c9
hex256080a62

10033302114 has 128 divisors (see below), whose sum is σ = 26066396160. Its totient is φ = 2826835200.

The previous prime is 10033302091. The next prime is 10033302151. The reversal of 10033302114 is 41120333001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832149 + ... + 844119.

It is an arithmetic number, because the mean of its divisors is an integer number (203643720).

Almost surely, 210033302114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033302114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033198080).

10033302114 is an abundant number, since it is smaller than the sum of its proper divisors (16033094046).

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

10033302114 is a wasteful number, since it uses less digits than its factorization.

10033302114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12087 counting only the distinct ones).

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

Adding to 10033302114 its reverse (41120333001), we get a palindrome (51153635115).

The spelling of 10033302114 in words is "ten billion, thirty-three million, three hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 83 99 102 153 166 187 198 249 297 306 374 459 498 561 594 747 913 918 1122 1411 1494 1683 1826 2241 2739 2822 3366 4233 4482 5049 5478 8217 8466 10098 11971 12699 15521 16434 23942 24651 25398 31042 35913 38097 46563 49302 71826 76194 93126 107739 131681 139689 203507 215478 263362 279378 323217 395043 407014 419067 610521 646434 790086 838134 993593 1185129 1221042 1831563 1987186 2238577 2370258 2980779 3555387 3663126 4477154 5494689 5961558 6715731 7110774 8942337 10929523 10989378 13431462 16891081 17884674 20147193 21859046 26827011 32788569 33782162 40294386 50673243 53654022 60441579 65577138 98365707 101346486 120883158 152019729 185801891 196731414 295097121 304039458 371603782 456059187 557405673 590194242 912118374 1114811346 1672217019 3344434038 5016651057 10033302114