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110300133230 = 257192926910631
BaseRepresentation
bin110011010111001100…
…1100111011101101110
3101112201000011022202122
41212232121213131232
53301343313230410
6122400550352542
710653224443310
oct1465631473556
9345630138678
10110300133230
1142861605701
121946335b752
13a52a743531
1454a4dcd7b0
152d08630e55
hex19ae66776e

110300133230 has 128 divisors (see below), whose sum is σ = 248023296000. Its totient is φ = 34459568640.

The previous prime is 110300133221. The next prime is 110300133247. The reversal of 110300133230 is 32331003011.

110300133230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1103001332302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110300133199 and 110300133208.

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, 10370015 + ... + 10380645.

It is an arithmetic number, because the mean of its divisors is an integer number (1937682000).

Almost surely, 2110300133230 is an apocalyptic number.

110300133230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110300133230 is an abundant number, since it is smaller than the sum of its proper divisors (137723162770).

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

110300133230 is a wasteful number, since it uses less digits than its factorization.

110300133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 110300133230 its reverse (32331003011), we get a palindrome (142631136241).

The spelling of 110300133230 in words is "one hundred ten billion, three hundred million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 133 145 190 203 266 269 290 406 538 551 665 1015 1102 1330 1345 1883 2030 2690 2755 3766 3857 5111 5510 7714 7801 9415 10222 10631 15602 18830 19285 21262 25555 35777 38570 39005 51110 53155 54607 71554 74417 78010 106310 109214 148219 148834 178885 201989 273035 296438 308299 357770 372085 403978 546070 616598 741095 744170 1009945 1037533 1413923 1482190 1541495 2019890 2075066 2158093 2827846 2859739 3082990 4316186 5187665 5719478 5857681 7069615 10375330 10790465 11715362 14139230 14298695 20018173 21580930 28597390 29288405 40036346 41003767 54335041 58576810 82007534 82932431 100090865 108670082 165864862 200181730 205018835 271675205 380345287 410037670 414662155 543350410 580527017 760690574 829324310 1161054034 1575716189 1901726435 2902635085 3151432378 3803452870 5805270170 7878580945 11030013323 15757161890 22060026646 55150066615 110300133230