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212001010011020 = 225314523665911353
BaseRepresentation
bin110000001101000001010100…
…111001001100101110001100
31000210122002122220020001000102
4300031001110321030232030
5210241411032030323040
62030515530335350232
762440365442304546
oct6015012471145614
91023562586201012
10212001010011020
116160613a3293aa
121b93b271382378
13913a7bccb2509
143a4cc917d8696
1519799759bc515
hexc0d054e4cb8c

212001010011020 has 96 divisors (see below), whose sum is σ = 459774609315840. Its totient is φ = 82027216212480.

The previous prime is 212001010011017. The next prime is 212001010011047. The reversal of 212001010011020 is 20110010100212.

It is a junction number, because it is equal to n+sod(n) for n = 212001010010992 and 212001010011010.

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, 18673561664 + ... + 18673573016.

It is an arithmetic number, because the mean of its divisors is an integer number (4789318847040).

Almost surely, 2212001010011020 is an apocalyptic number.

212001010011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001010011020 is an abundant number, since it is smaller than the sum of its proper divisors (247773599304820).

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

212001010011020 is a wasteful number, since it uses less digits than its factorization.

212001010011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22575 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212001010011020 its reverse (20110010100212), we get a palindrome (232111020111232).

The spelling of 212001010011020 in words is "two hundred twelve trillion, one billion, ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 4523 6659 9046 11353 13318 18092 22615 22706 26636 33295 45230 45412 56765 66590 90460 113530 133180 140213 206429 227060 280426 351943 412858 560852 701065 703886 825716 1032145 1402130 1407772 1759715 2064290 2804260 3519430 4128580 7038860 30118657 51349619 60237314 75599627 102699238 120474628 150593285 151199254 205398476 256748095 301186570 302398508 377998135 513496190 602373140 755996270 933678367 1026992380 1511992540 1591838189 1867356734 2343588437 3183676378 3734713468 4668391835 4687176874 6367352756 7959190945 9336783670 9374353748 11717942185 15918381890 18673567340 23435884370 31836763780 46871768740 341937112921 683874225842 1367748451684 1709685564605 3419371129210 6838742258420 10600050500551 21200101001102 42400202002204 53000252502755 106000505005510 212001010011020