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212030013220 = 225194335293677
BaseRepresentation
bin1100010101110111111…
…0010011111100100100
3202021021201212200020121
43011131332103330210
511433214140410340
6241223311011324
721214205242564
oct3053576237444
9667251780217
10212030013220
1181a15462193
1235114509b44
1316cc07619ac
14a395ab2da4
1557ae67294a
hex315df93f24

212030013220 has 96 divisors (see below), whose sum is σ = 479864246400. Its totient is φ = 78436076544.

The previous prime is 212030013199. The next prime is 212030013233. The reversal of 212030013220 is 22310030212.

It is a junction number, because it is equal to n+sod(n) for n = 212030013194 and 212030013203.

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, 57662022 + ... + 57665698.

It is an arithmetic number, because the mean of its divisors is an integer number (4998585900).

Almost surely, 2212030013220 is an apocalyptic number.

212030013220 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 212030013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239932123200).

212030013220 is an abundant number, since it is smaller than the sum of its proper divisors (267834233180).

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

212030013220 is a wasteful number, since it uses less digits than its factorization.

212030013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212030013220 its reverse (22310030212), we get a palindrome (234340043432).

The spelling of 212030013220 in words is "two hundred twelve billion, thirty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 3529 3677 4085 7058 7354 8170 14116 14708 16340 17645 18385 35290 36770 67051 69863 70580 73540 134102 139726 151747 158111 268204 279452 303494 316222 335255 349315 606988 632444 670510 698630 758735 790555 1341020 1397260 1517470 1581110 2883193 3004109 3034940 3162220 5766386 6008218 11532772 12016436 12976133 14415965 15020545 25952266 28831930 30041090 51904532 57663860 60082180 64880665 129761330 246546527 259522660 493093054 557973719 986186108 1115947438 1232732635 2231894876 2465465270 2789868595 4930930540 5579737190 10601500661 11159474380 21203001322 42406002644 53007503305 106015006610 212030013220