Search a number
-
+
210110022012020 = 225134189221462173
BaseRepresentation
bin101111110001100000001101…
…001110011100110001110100
31000112221022200200200121120212
4233301200031032130301310
5210014420311113341040
62022511113412044552
762153643133441424
oct5761401516346164
91015838620617525
10210110022012020
1160a47183961429
121b694891303758
1390313a0350460
1439c5544c26484
15194569cec6d65
hexbf180d39cc74

210110022012020 has 96 divisors (see below), whose sum is σ = 492230686419360. Its totient is φ = 74836497162240.

The previous prime is 210110022012001. The next prime is 210110022012071. The reversal of 210110022012020 is 20210220011012.

210110022012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 136831833780196 + 73278188231824 = 11697514^2 + 8560268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210110022011986 and 210110022012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109782347 + ... + 111679826.

It is an arithmetic number, because the mean of its divisors is an integer number (5127402983535).

Almost surely, 2210110022012020 is an apocalyptic number.

210110022012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110022012020 is an abundant number, since it is smaller than the sum of its proper divisors (282120664407340).

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

210110022012020 is a wasteful number, since it uses less digits than its factorization.

210110022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221462325 (or 221462323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210110022012020 its reverse (20210220011012), we get a palindrome (230320242023032).

The spelling of 210110022012020 in words is "two hundred ten trillion, one hundred ten billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 89 130 164 178 205 260 356 410 445 533 820 890 1066 1157 1780 2132 2314 2665 3649 4628 5330 5785 7298 10660 11570 14596 18245 23140 36490 47437 72980 94874 189748 237185 474370 948740 221462173 442924346 885848692 1107310865 2214621730 2879008249 4429243460 5758016498 9079949093 11516032996 14395041245 18159898186 19710133397 28790082490 36319796372 39420266794 45399745465 57580164980 78840533588 90799490930 98550666985 118039338209 181598981860 197101333970 236078676418 256231734161 394202667940 472157352836 512463468322 590196691045 808115469277 1024926936644 1180393382090 1281158670805 1616230938554 2360786764180 2562317341610 3232461877108 4040577346385 5124634683220 8081154692770 10505501100601 16162309385540 21011002201202 42022004402404 52527505503005 105055011006010 210110022012020