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113434301310 = 235113161181777
BaseRepresentation
bin110100110100100110…
…1100001001101111110
3101211210102122120002220
41221221031201031332
53324303140120220
6124035550430210
711124002436501
oct1515115411576
9354712576086
10113434301310
114411a784560
1219b98b02366
13a909b72765
1456c135d138
152e3d878540
hex1a6936137e

113434301310 has 128 divisors (see below), whose sum is σ = 311599484928. Its totient is φ = 26175744000.

The previous prime is 113434301297. The next prime is 113434301327. The reversal of 113434301310 is 13103434311.

It is a super-2 number, since 2×1134343013102 (a number of 23 digits) contains 22 as substring.

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, 533142 + ... + 714918.

It is an arithmetic number, because the mean of its divisors is an integer number (2434370976).

Almost surely, 2113434301310 is an apocalyptic number.

113434301310 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 113434301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155799742464).

113434301310 is an abundant number, since it is smaller than the sum of its proper divisors (198165183618).

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

113434301310 is a wasteful number, since it uses less digits than its factorization.

113434301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181890.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113434301310 its reverse (13103434311), we get a palindrome (126537735621).

The spelling of 113434301310 in words is "one hundred thirteen billion, four hundred thirty-four million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 61 62 66 93 110 122 155 165 183 186 305 310 330 341 366 465 610 671 682 915 930 1023 1342 1705 1830 1891 2013 2046 3355 3410 3782 4026 5115 5673 6710 9455 10065 10230 11346 18910 20130 20801 28365 41602 56730 62403 104005 124806 181777 208010 312015 363554 545331 624030 908885 1090662 1817770 1999547 2726655 3999094 5453310 5635087 5998641 9997735 11088397 11270174 11997282 16905261 19995470 22176794 28175435 29993205 33265191 33810522 55441985 56350870 59986410 61985957 66530382 84526305 110883970 121972367 123971914 166325955 169052610 185957871 243944734 309929785 332651910 343740307 365917101 371915742 609861835 619859570 687480614 731834202 929789355 1031220921 1219723670 1718701535 1829585505 1859578710 2062441842 3437403070 3659171010 3781143377 5156104605 7562286754 10312209210 11343430131 18905716885 22686860262 37811433770 56717150655 113434301310