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113300132110230 = 2351312715115149041
BaseRepresentation
bin11001110000101110111110…
…001000001001111110010110
3112212011101110000022222110210
4121300232332020021332112
5104322302132310011410
61040545210120030250
732602443615566322
oct3160567610117626
9485141400288423
10113300132110230
113311235293657a
121085a3a9002386
134b2b2061070a0
141dd9a81728982
15d172e300e220
hex670bbe209f96

113300132110230 has 128 divisors (see below), whose sum is σ = 297097679241216. Its totient is φ = 27486418176000.

The previous prime is 113300132110201. The next prime is 113300132110247. The reversal of 113300132110230 is 32011231003311.

It is a happy number.

It is a super-2 number, since 2×1133001321102302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113300132110197 and 113300132110206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95491 + ... + 15053550.

It is an arithmetic number, because the mean of its divisors is an integer number (2321075619072).

Almost surely, 2113300132110230 is an apocalyptic number.

113300132110230 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 113300132110230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148548839620608).

113300132110230 is an abundant number, since it is smaller than the sum of its proper divisors (183797547130986).

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

113300132110230 is a wasteful number, since it uses less digits than its factorization.

113300132110230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15149342.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113300132110230 its reverse (32011231003311), we get a palindrome (145311363113541).

The spelling of 113300132110230 in words is "one hundred thirteen trillion, three hundred billion, one hundred thirty-two million, one hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 151 195 254 302 381 390 453 635 755 762 906 1270 1510 1651 1905 1963 2265 3302 3810 3926 4530 4953 5889 8255 9815 9906 11778 16510 19177 19630 24765 29445 38354 49530 57531 58890 95885 115062 191770 249301 287655 498602 575310 747903 1246505 1495806 2493010 3739515 7479030 15149041 30298082 45447123 75745205 90894246 151490410 196937533 227235615 393875066 454471230 590812599 984687665 1181625198 1923928207 1969375330 2287505191 2954062995 3847856414 4575010382 5771784621 5908125990 6862515573 9619641035 11437525955 11543569242 13725031146 19239282070 22875051910 25011066691 28858923105 29737567483 34312577865 50022133382 57717846210 59475134966 68625155730 75033200073 89212702449 125055333455 148687837415 150066400146 178425404898 250110666910 290513159257 297375674830 375166000365 446063512245 581026318514 750332000730 871539477771 892127024490 1452565796285 1743078955542 2905131592570 3776671070341 4357697388855 7553342140682 8715394777710 11330013211023 18883355351705 22660026422046 37766710703410 56650066055115 113300132110230