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220331001323130 = 23553661213198377
BaseRepresentation
bin110010000110001111001111…
…000100010001111001111010
31001220010102211022110222110020
4302012033033010101321322
5212334400342314320010
62100334355322431310
764260250416222255
oct6206171704217172
91056112738428406
10220331001323130
1164227942258595
122086575a662536
1395c3180047aa9
143c5a11240209c
151a714ad0a1470
hexc863cf111e7a

220331001323130 has 128 divisors (see below), whose sum is σ = 539845437470976. Its totient is φ = 57531544012800.

The previous prime is 220331001323113. The next prime is 220331001323201. The reversal of 220331001323130 is 31323100133022.

220331001323130 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 2×2203310013231302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220331001323130.

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, 2239610502 + ... + 2239708878.

It is an arithmetic number, because the mean of its divisors is an integer number (4217542480242).

Almost surely, 2220331001323130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220331001323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269922718735488).

220331001323130 is an abundant number, since it is smaller than the sum of its proper divisors (319514436147846).

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

220331001323130 is a wasteful number, since it uses less digits than its factorization.

220331001323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101232.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 220331001323130 its reverse (31323100133022), we get a palindrome (251654101456152).

The spelling of 220331001323130 in words is "two hundred twenty trillion, three hundred thirty-one billion, one million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 661 795 1322 1590 1983 2131 3305 3966 4262 6393 6610 9915 10655 12786 19830 21310 31965 35033 63930 70066 98377 105099 112943 175165 196754 210198 225886 295131 338829 350330 491885 525495 564715 590262 677658 983770 1050990 1129430 1408591 1475655 1694145 2817182 2951310 3388290 4225773 5213981 7042955 8451546 10427962 14085910 15641943 21128865 26069905 31283886 42257730 52139810 65027197 74655323 78209715 130054394 149310646 156419430 195081591 209641387 223965969 325135985 373276615 390163182 419282774 447931938 628924161 650271970 746553230 975407955 1048206935 1119829845 1257848322 1950815910 2096413870 2239659690 3144620805 3446441441 6289241610 6892882882 10339324323 11110993511 17232207205 20678648646 22221987022 33332980533 34464414410 51696621615 55554967555 66665961066 103393243230 111109935110 138572956807 166664902665 277145913614 333329805330 415718870421 692864784035 831437740842 1385729568070 2078594352105 4157188704210 7344366710771 14688733421542 22033100132313 36721833553855 44066200264626 73443667107710 110165500661565 220331001323130