Search a number
-
+
213131030012120 = 2351131107146032169
BaseRepresentation
bin110000011101011101101111…
…010101011010000011011000
31000221122010102221012212110202
4300131131233111122003120
5210413414322140341440
62033143013222001332
762615131415653313
oct6035355725320330
91027563387185422
10213131030012120
1161a013a9144560
121baa227a876248
1391c022933663c
143a8b84dc3597a
151999061be8615
hexc1d76f55a0d8

213131030012120 has 128 divisors (see below), whose sum is σ = 545062153881600. Its totient is φ = 74301167078400.

The previous prime is 213131030012107. The next prime is 213131030012129. The reversal of 213131030012120 is 21210030131312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213131030012092 and 213131030012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131030012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71556605 + ... + 74475564.

It is an arithmetic number, because the mean of its divisors is an integer number (4258298077200).

Almost surely, 2213131030012120 is an apocalyptic number.

213131030012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131030012120 is an abundant number, since it is smaller than the sum of its proper divisors (331931123869480).

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

213131030012120 is a wasteful number, since it uses less digits than its factorization.

213131030012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146032329 (or 146032325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213131030012120 its reverse (21210030131312), we get a palindrome (234341060143432).

The spelling of 213131030012120 in words is "two hundred thirteen trillion, one hundred thirty-one billion, thirty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 107 110 124 155 214 220 248 310 341 428 440 535 620 682 856 1070 1177 1240 1364 1705 2140 2354 2728 3317 3410 4280 4708 5885 6634 6820 9416 11770 13268 13640 16585 23540 26536 33170 36487 47080 66340 72974 132680 145948 182435 291896 364870 729740 1459480 146032169 292064338 584128676 730160845 1168257352 1460321690 1606353859 2920643380 3212707718 4526997239 5841286760 6425415436 8031769295 9053994478 12850830872 15625442083 16063538590 18107988956 22634986195 31250884166 32127077180 36215977912 45269972390 49796969629 62501768332 64254154360 78127210415 90539944780 99593939258 125003536664 156254420830 171879862913 181079889560 199187878516 248984848145 312508841660 343759725826 398375757032 484388704573 497969696290 625017683320 687519451652 859399314565 968777409146 995939392580 1375038903304 1718798629130 1937554818292 1991878785160 2421943522865 3437597258260 3875109636584 4843887045730 5328275750303 6875194516520 9687774091460 10656551500606 19375548182920 21313103001212 26641378751515 42626206002424 53282757503030 106565515006060 213131030012120