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2113314132330 = 234541151421423
BaseRepresentation
bin11110110000001011010…
…101101001000101101010
321111000211111101012020000
4132300023111221011222
5234111031404213310
64254502040043430
7305452615510632
oct36601325510552
97430744335200
102113314132330
11745284808635
122a16a8763576
1312439155100b
14743dbc8b6c2
1539e8b01a4c0
hex1ec0b56916a

2113314132330 has 160 divisors (see below), whose sum is σ = 5859627637248. Its totient is φ = 546162912000.

The previous prime is 2113314132317. The next prime is 2113314132361. The reversal of 2113314132330 is 332314133112.

2113314132330 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 314 + 13 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2113314132294 and 2113314132303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4803999 + ... + 5225421.

Almost surely, 22113314132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113314132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929813818624).

2113314132330 is an abundant number, since it is smaller than the sum of its proper divisors (3746313504918).

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

2113314132330 is a wasteful number, since it uses less digits than its factorization.

2113314132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421634 (or 421625 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2113314132330 its reverse (332314133112), we get a palindrome (2445628265442).

The spelling of 2113314132330 in words is "two trillion, one hundred thirteen billion, three hundred fourteen million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 151 162 205 246 270 302 369 405 410 453 615 738 755 810 906 1107 1230 1359 1510 1845 2214 2265 2718 3321 3690 4077 4530 5535 6191 6642 6795 8154 11070 12231 12382 13590 16605 18573 20385 24462 30955 33210 37146 40770 55719 61155 61910 92865 111438 122310 167157 185730 278595 334314 421423 501471 557190 835785 842846 1002942 1264269 1671570 2107115 2507355 2528538 3792807 4214230 5014710 6321345 7585614 11378421 12642690 17278343 18964035 22756842 34135263 34556686 37928070 51835029 56892105 63634873 68270526 86391715 103670058 113784210 127269746 155505087 170676315 172783430 190904619 259175145 311010174 318174365 341352630 381809238 466515261 518350290 572713857 636348730 777525435 933030522 954523095 1145427714 1399545783 1555050870 1718141571 1909046190 2332576305 2609029793 2799091566 2863569285 3436283142 4665152610 5154424713 5218059586 5727138570 6997728915 7827089379 8590707855 10308849426 13045148965 13995457830 15654178758 17181415710 23481268137 25772123565 26090297930 39135446895 46962536274 51544247130 70443804411 78270893790 117406340685 140887608822 211331413233 234812681370 352219022055 422662826466 704438044110 1056657066165 2113314132330