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212213310120 = 233257212030233
BaseRepresentation
bin1100010110100011100…
…1100010001010101000
3202021202111210010022200
43011220321202022220
511434103101410440
6241253415420200
721221562242100
oct3055071421250
9667674703280
10212213310120
1181aa9976929
1235165984660
131701c71b3b6
14a3b2188200
1557c07ccc30
hex3168e622a8

212213310120 has 144 divisors (see below), whose sum is σ = 802296305460. Its totient is φ = 48505895424.

The previous prime is 212213310109. The next prime is 212213310139. The reversal of 212213310120 is 21013312212.

212213310120 is a `hidden beast` number, since 21 + 2 + 213 + 310 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200039718564 + 12173591556 = 447258^2 + 110334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212213310093 and 212213310102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5997477 + ... + 6032756.

Almost surely, 2212213310120 is an apocalyptic number.

212213310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213310120 is an abundant number, since it is smaller than the sum of its proper divisors (590082995340).

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

212213310120 is a wasteful number, since it uses less digits than its factorization.

212213310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030264 (or 12030250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212213310120 its reverse (21013312212), we get a palindrome (233226622332).

The spelling of 212213310120 in words is "two hundred twelve billion, two hundred thirteen million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 12030233 24060466 36090699 48120932 60151165 72181398 84211631 96241864 108272097 120302330 144362796 168423262 180453495 216544194 240604660 252634893 288725592 336846524 360906990 421058155 433088388 481209320 505269786 541360485 589481417 673693048 721813980 757904679 842116310 866176776 1010539572 1082720970 1178962834 1263174465 1443627960 1515809358 1684232620 1768444251 2021079144 2165441940 2357925668 2526348930 2947407085 3031618716 3368465240 3536888502 3789523395 4330883880 4715851336 5052697860 5305332753 5894814170 6063237432 7073777004 7579046790 8842221255 10105395720 10610665506 11789628340 14147554008 15158093580 17684442510 21221331012 23579256680 26526663765 30316187160 35368885020 42442662024 53053327530 70737770040 106106655060 212213310120