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10133013030 = 2357177693691
BaseRepresentation
bin10010110111111100…
…11000001000100110
3222011012001101200220
421123332120020212
5131223022404110
64353253345210
7506051122020
oct113376301046
928135041626
1010133013030
11432a904738
121b69638206
13c5641c4ca
146c1aa9010
153e48d4370
hex25bf98226

10133013030 has 128 divisors (see below), whose sum is σ = 29474565120. Its totient is φ = 2176450560.

The previous prime is 10133012993. The next prime is 10133013041. The reversal of 10133013030 is 3031033101.

10133013030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101330130302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2743485 + ... + 2747175.

It is an arithmetic number, because the mean of its divisors is an integer number (230270040).

Almost surely, 210133013030 is an apocalyptic number.

10133013030 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 10133013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737282560).

10133013030 is an abundant number, since it is smaller than the sum of its proper divisors (19341552090).

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

10133013030 is a wasteful number, since it uses less digits than its factorization.

10133013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10133013030 its reverse (3031033101), we get a palindrome (13164046131).

The spelling of 10133013030 in words is "ten billion, one hundred thirty-three million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 769 1190 1538 1785 2307 3570 3691 3845 4614 5383 7382 7690 10766 11073 11535 13073 16149 18455 22146 23070 25837 26146 26915 32298 36910 39219 51674 53830 55365 62747 65365 77511 78438 80745 91511 110730 125494 129185 130730 155022 161490 183022 188241 196095 258370 274533 313735 376482 387555 392190 439229 457555 549066 627470 775110 878458 915110 941205 1317687 1372665 1882410 2196145 2635374 2745330 2838379 4392290 5676758 6588435 8515137 13176870 14191895 17030274 19868653 28383790 39737306 42575685 48252443 59605959 85151370 96504886 99343265 119211918 144757329 198686530 241262215 289514658 298029795 337767101 482524430 596059590 675534202 723786645 1013301303 1447573290 1688835505 2026602606 3377671010 5066506515 10133013030