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212114034330 = 235111996415039
BaseRepresentation
bin1100010110001011111…
…0110100111010011010
3202021111120222101112120
43011202332310322122
511433402143044310
6241235511522110
721216245354232
oct3054276647232
9667446871476
10212114034330
1181a5892a520
1235138689336
1317004c9c423
14a3a2d04cc2
1557b6c1cb70
hex3162fb4e9a

212114034330 has 128 divisors (see below), whose sum is σ = 559125504000. Its totient is φ = 51073228800.

The previous prime is 212114034299. The next prime is 212114034331. The reversal of 212114034330 is 33430411212.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212114034330.

It is not an unprimeable number, because it can be changed into a prime (212114034331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42091951 + ... + 42096989.

It is an arithmetic number, because the mean of its divisors is an integer number (4368168000).

Almost surely, 2212114034330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212114034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279562752000).

212114034330 is an abundant number, since it is smaller than the sum of its proper divisors (347011469670).

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

212114034330 is a wasteful number, since it uses less digits than its factorization.

212114034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212114034330 its reverse (33430411212), we get a palindrome (245544445542).

The spelling of 212114034330 in words is "two hundred twelve billion, one hundred fourteen million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 199 330 398 597 641 995 1194 1282 1923 1990 2189 2985 3205 3846 4378 5039 5970 6410 6567 7051 9615 10078 10945 13134 14102 15117 19230 21153 21890 25195 30234 32835 35255 42306 50390 55429 65670 70510 75585 105765 110858 127559 151170 166287 211530 255118 277145 332574 382677 554290 637795 765354 831435 1002761 1275590 1403149 1662870 1913385 2005522 2806298 3008283 3229999 3826770 4209447 5013805 6016566 6459998 7015745 8418894 9689997 10027610 11030371 14031490 15041415 16149995 19379994 21047235 22060742 30082830 32299990 33091113 35529989 42094470 48449985 55151855 66182226 71059978 96899970 106589967 110303710 165455565 177649945 213179934 330911130 355299890 532949835 642769801 1065899670 1285539602 1928309403 3213849005 3856618806 6427698010 7070467811 9641547015 14140935622 19283094030 21211403433 35352339055 42422806866 70704678110 106057017165 212114034330