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212021013300 = 2235219353105373
BaseRepresentation
bin1100010101110101101…
…1111110101100110100
3202021021002221102200020
43011131123332230310
511433204334411200
6241222350045140
721214035610005
oct3053533765464
9667232842606
10212021013300
1181a10375438
12351114a97b0
1316cbb9303b5
14a39480d1ac
1557ad995ea0
hex315d6feb34

212021013300 has 144 divisors (see below), whose sum is σ = 647569594560. Its totient is φ = 53410959360.

The previous prime is 212021013293. The next prime is 212021013343. The reversal of 212021013300 is 3310120212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212021013300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959414 + ... + 2064786.

Almost surely, 2212021013300 is an apocalyptic number.

212021013300 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 212021013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323784797280).

212021013300 is an abundant number, since it is smaller than the sum of its proper divisors (435548581260).

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

212021013300 is a wasteful number, since it uses less digits than its factorization.

212021013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105762 (or 105755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212021013300 its reverse (3310120212), we get a palindrome (215331133512).

The spelling of 212021013300 in words is "two hundred twelve billion, twenty-one million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 353 380 475 570 706 950 1059 1140 1412 1425 1765 1900 2118 2850 3530 4236 5295 5700 6707 7060 8825 10590 13414 17650 20121 21180 26475 26828 33535 35300 40242 52950 67070 80484 100605 105373 105900 134140 167675 201210 210746 316119 335350 402420 421492 503025 526865 632238 670700 1006050 1053730 1264476 1580595 2002087 2012100 2107460 2634325 3161190 4004174 5268650 6006261 6322380 7902975 8008348 10010435 10537300 12012522 15805950 20020870 24025044 30031305 31611900 37196669 40041740 50052175 60062610 74393338 100104350 111590007 120125220 148786676 150156525 185983345 200208700 223180014 300313050 371966690 446360028 557950035 600626100 706736711 743933380 929916725 1115900070 1413473422 1859833450 2120210133 2231800140 2789750175 2826946844 3533683555 3719666900 4240420266 5579500350 7067367110 8480840532 10601050665 11159000700 14134734220 17668417775 21202101330 35336835550 42404202660 53005253325 70673671100 106010506650 212021013300