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212023323311310 = 232572269917813209
BaseRepresentation
bin110000001101010110000110…
…110111101011110011001110
31000210201020020221122010200200
4300031112012313223303032
5210242242231231430220
62030534100423034330
762442115414236300
oct6015260667536316
91023636227563620
10212023323311310
116161464a633145
121b943659b9b9a6
13913c937a0b094
143a4ddab011970
15197a32e885890
hexc0d586debcce

212023323311310 has 144 divisors (see below), whose sum is σ = 641500006446000. Its totient is φ = 48444515465472.

The previous prime is 212023323311287. The next prime is 212023323311321. The reversal of 212023323311310 is 13113323320212.

212023323311310 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 2 + 3 + 32 + 3 + 311 + 310 = 666.

It is a super-2 number, since 2×2120233233113102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2995986 + ... + 20809194.

It is an arithmetic number, because the mean of its divisors is an integer number (4454861155875).

Almost surely, 2212023323311310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023323311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320750003223000).

212023323311310 is an abundant number, since it is smaller than the sum of its proper divisors (429476683134690).

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

212023323311310 is a wasteful number, since it uses less digits than its factorization.

212023323311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17815935 (or 17815925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212023323311310 its reverse (13113323320212), we get a palindrome (225136646631522).

The spelling of 212023323311310 in words is "two hundred twelve trillion, twenty-three billion, three hundred twenty-three million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2699 4410 5398 8097 13495 16194 18893 24291 26990 37786 40485 48582 56679 80970 94465 113358 121455 132251 170037 188930 242910 264502 283395 340074 396753 566790 661255 793506 850185 1190259 1322510 1700370 1983765 2380518 3967530 5951295 11902590 17813209 35626418 53439627 89066045 106879254 124692463 160318881 178132090 249384926 267198135 320637762 374077389 534396270 623462315 748154778 801594405 872847241 1122232167 1246924630 1603188810 1745694482 1870386945 2244464334 2618541723 3740773890 4364236205 5237083446 5611160835 7855625169 8728472410 11222321670 13092708615 15711250338 26185417230 39278125845 48077851091 78556251690 96155702182 144233553273 240389255455 288467106546 336544957637 432700659819 480778510910 673089915274 721167766365 865401319638 1009634872911 1442335532730 1682724788185 2019269745822 2163503299095 2355814703459 3028904618733 3365449576370 4327006598190 4711629406918 5048174364555 6057809237466 7067444110377 10096348729110 11779073517295 14134888220754 15144523093665 21202332331131 23558147034590 30289046187330 35337220551885 42404664662262 70674441103770 106011661655655 212023323311310