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10133043030 = 2335117574507
BaseRepresentation
bin10010110111111100…
…11111011101010110
3222011012002220212000
421123332133131112
5131223024334110
64353254140130
7506051305335
oct113376373526
928135086760
1010133043030
11432a925230
121b69651646
13c56430066
146c1ab5d1c
153e48dd1c0
hex25bf9f756

10133043030 has 128 divisors (see below), whose sum is σ = 29523432960. Its totient is φ = 2452705920.

The previous prime is 10133043029. The next prime is 10133043043. The reversal of 10133043030 is 3034033101.

It is a super-2 number, since 2×101330430302 (a number of 21 digits) contains 22 as substring.

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 = 10133042994 and 10133043012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2246037 + ... + 2250543.

It is an arithmetic number, because the mean of its divisors is an integer number (230651820).

Almost surely, 210133043030 is an apocalyptic number.

10133043030 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 10133043030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761716480).

10133043030 is an abundant number, since it is smaller than the sum of its proper divisors (19390389930).

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

10133043030 is a wasteful number, since it uses less digits than its factorization.

10133043030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133043030 its reverse (3034033101), we get a palindrome (13167076131).

The spelling of 10133043030 in words is "ten billion, one hundred thirty-three million, forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 757 990 1485 1514 2271 2970 3785 4507 4542 6813 7570 8327 9014 11355 13521 13626 16654 20439 22535 22710 24981 27042 34065 40563 40878 41635 45070 49577 49962 67605 68130 74943 81126 83270 99154 102195 121689 124905 135210 148731 149886 202815 204390 224829 243378 247885 249810 297462 374715 405630 446193 449658 495770 608445 743655 749430 892386 1124145 1216890 1338579 1487310 2230965 2248290 2677158 3411799 4461930 6692895 6823598 10235397 13385790 17058995 20470794 30706191 34117990 37529789 51176985 61412382 75059578 92118573 102353970 112589367 153530955 184237146 187648945 225178734 307061910 337768101 375297890 460592865 562946835 675536202 921185730 1013304303 1125893670 1688840505 2026608606 3377681010 5066521515 10133043030