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212101020001020 = 2235101163214724959
BaseRepresentation
bin110000001110011110011101…
…111101000010001011111100
31000210222122210202122220222010
4300032132131331002023330
5210300030342110013040
62031033510300451220
762450536000221453
oct6016363575021374
91023878722586863
10212101020001020
11616445a03680a7
121b956722549b10
13914706a8ac0a7
143a53a5bcd9b9a
15197c37aa2be80
hexc0e79df422fc

212101020001020 has 96 divisors (see below), whose sum is σ = 603442413987840. Its totient is φ = 55656709113600.

The previous prime is 212101020000997. The next prime is 212101020001033. The reversal of 212101020001020 is 20100020101212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212101020000987 and 212101020001005.

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, 106374700 + ... + 108350259.

It is an arithmetic number, because the mean of its divisors is an integer number (6285858479040).

Almost surely, 2212101020001020 is an apocalyptic number.

212101020001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101020001020 is an abundant number, since it is smaller than the sum of its proper divisors (391341393986820).

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

212101020001020 is a wasteful number, since it uses less digits than its factorization.

212101020001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214725235 (or 214725233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212101020001020 its reverse (20100020101212), we get a palindrome (232201040102232).

The spelling of 212101020001020 in words is "two hundred twelve trillion, one hundred one billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 163 202 303 326 404 489 505 606 652 815 978 1010 1212 1515 1630 1956 2020 2445 3030 3260 4890 6060 9780 16463 32926 49389 65852 82315 98778 164630 197556 246945 329260 493890 987780 214724959 429449918 644174877 858899836 1073624795 1288349754 2147249590 2576699508 3220874385 4294499180 6441748770 12883497540 21687220859 35000168317 43374441718 65061662577 70000336634 86748883436 105000504951 108436104295 130123325154 140000673268 175000841585 210001009902 216872208590 260246650308 325308312885 350001683170 420002019804 433744417180 525002524755 650616625770 700003366340 1050005049510 1301233251540 2100010099020 3535017000017 7070034000034 10605051000051 14140068000068 17675085000085 21210102000102 35350170000170 42420204000204 53025255000255 70700340000340 106050510000510 212101020001020