Search a number
-
+
212101012020 = 2235101157222931
BaseRepresentation
bin1100010110001000110…
…1001001101000110100
3202021110200110210021210
43011202031021220310
511433340324341040
6241234324441420
721216026566302
oct3054215115064
9667420423253
10212101012020
1181a51545687
1235134249270
1317002390011
14a3a12b5272
1557b59e9480
hex3162349a34

212101012020 has 96 divisors (see below), whose sum is σ = 603585714816. Its totient is φ = 55643328000.

The previous prime is 212101012007. The next prime is 212101012037. The reversal of 212101012020 is 20210101212.

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 = 212101011987 and 212101012005.

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, 839955 + ... + 1062885.

It is an arithmetic number, because the mean of its divisors is an integer number (6287351196).

Almost surely, 2212101012020 is an apocalyptic number.

212101012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301792857408).

212101012020 is an abundant number, since it is smaller than the sum of its proper divisors (391484702796).

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

212101012020 is a wasteful number, since it uses less digits than its factorization.

212101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223201 (or 223199 counting only the distinct ones).

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

Adding to 212101012020 its reverse (20210101212), we get a palindrome (232311113232).

The spelling of 212101012020 in words is "two hundred twelve billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 157 202 303 314 404 471 505 606 628 785 942 1010 1212 1515 1570 1884 2020 2355 3030 3140 4710 6060 9420 15857 31714 47571 63428 79285 95142 158570 190284 222931 237855 317140 445862 475710 668793 891724 951420 1114655 1337586 2229310 2675172 3343965 4458620 6687930 13375860 22516031 35000167 45032062 67548093 70000334 90064124 105000501 112580155 135096186 140000668 175000835 210001002 225160310 270192372 337740465 350001670 420002004 450320620 525002505 675480930 700003340 1050005010 1350961860 2100010020 3535016867 7070033734 10605050601 14140067468 17675084335 21210101202 35350168670 42420202404 53025253005 70700337340 106050506010 212101012020