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212210303100 = 223521638235273
BaseRepresentation
bin1100010110100010111…
…0000100000001111100
3202021202022010100110120
43011220232010001330
511434101314144400
6241253231134540
721221524546215
oct3055056040174
9667668110416
10212210303100
1181aa8202694
1235164974450
131701bc077b3
14a3b1a0440c
1557c03d6ca0
hex3168b8407c

212210303100 has 144 divisors (see below), whose sum is σ = 618629905152. Its totient is φ = 56163248640.

The previous prime is 212210303087. The next prime is 212210303113. The reversal of 212210303100 is 1303012212.

It is an interprime number because it is at equal distance from previous prime (212210303087) and next prime (212210303113).

It is a super-2 number, since 2×2122103031002 (a number of 23 digits) contains 22 as substring.

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 212210303100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40242064 + ... + 40247336.

It is an arithmetic number, because the mean of its divisors is an integer number (4296041008).

Almost surely, 2212210303100 is an apocalyptic number.

212210303100 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 212210303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309314952576).

212210303100 is an abundant number, since it is smaller than the sum of its proper divisors (406419602052).

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

212210303100 is a wasteful number, since it uses less digits than its factorization.

212210303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6269 counting only the distinct ones).

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

Adding to 212210303100 its reverse (1303012212), we get a palindrome (213513315312).

The spelling of 212210303100 in words is "two hundred twelve billion, two hundred ten million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 823 978 1630 1646 1956 2445 2469 3260 3292 4075 4115 4890 4938 5273 8150 8230 9780 9876 10546 12225 12345 15819 16300 16460 20575 21092 24450 24690 26365 31638 41150 48900 49380 52730 61725 63276 79095 82300 105460 123450 131825 134149 158190 246900 263650 268298 316380 395475 402447 527300 536596 670745 790950 804894 859499 1341490 1581900 1609788 1718998 2012235 2578497 2682980 3353725 3437996 4024470 4297495 4339679 5156994 6707450 8048940 8594990 8679358 10061175 10313988 12892485 13019037 13414900 17189980 17358716 20122350 21487475 21698395 25784970 26038074 40244700 42974950 43396790 51569940 52076148 64462425 65095185 85949900 86793580 108491975 128924850 130190370 216983950 257849700 260380740 325475925 433967900 650951850 707367677 1301903700 1414735354 2122103031 2829470708 3536838385 4244206062 7073676770 8488412124 10610515155 14147353540 17684191925 21221030310 35368383850 42442060620 53052575775 70736767700 106105151550 212210303100