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212021013320 = 235438310314419
BaseRepresentation
bin1100010101110101101…
…1111110101101001000
3202021021002221102200222
43011131123332231020
511433204334411240
6241222350045212
721214035610034
oct3053533765510
9667232842628
10212021013320
1181a10375456
12351114a9808
1316cbb9303cc
14a39480d1c4
1557ad995eb5
hex315d6feb48

212021013320 has 128 divisors (see below), whose sum is σ = 498853555200. Its totient is φ = 81037926144.

The previous prime is 212021013293. The next prime is 212021013343. The reversal of 212021013320 is 23310120212.

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, 14697071 + ... + 14711489.

It is an arithmetic number, because the mean of its divisors is an integer number (3897293400).

Almost surely, 2212021013320 is an apocalyptic number.

212021013320 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 212021013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249426777600).

212021013320 is an abundant number, since it is smaller than the sum of its proper divisors (286832541880).

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

212021013320 is a wasteful number, since it uses less digits than its factorization.

212021013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212021013320 its reverse (23310120212), we get a palindrome (235331133532).

The spelling of 212021013320 in words is "two hundred twelve billion, twenty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 83 86 103 166 172 206 215 332 344 412 415 430 515 664 824 830 860 1030 1660 1720 2060 3320 3569 4120 4429 7138 8549 8858 14276 14419 17098 17716 17845 22145 28552 28838 34196 35432 35690 42745 44290 57676 68392 71380 72095 85490 88580 115352 142760 144190 170980 177160 288380 341960 367607 576760 620017 735214 1196777 1240034 1470428 1485157 1838035 2393554 2480068 2940856 2970314 3100085 3676070 4787108 4960136 5940628 5983885 6200170 7352140 7425785 9574216 11881256 11967770 12400340 14704280 14851570 23935540 24800680 29703140 47871080 51461411 59406280 63861751 102922822 123268031 127723502 205845644 246536062 255447004 257307055 319308755 411691288 493072124 510894008 514614110 616340155 638617510 986144248 1029228220 1232680310 1277235020 2058456440 2465360620 2554470040 4930721240 5300525333 10601050666 21202101332 26502626665 42404202664 53005253330 106010506660 212021013320