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212021230300 = 2252111973073187
BaseRepresentation
bin1100010101110101110…
…0110011101011011100
3202021021010100110100021
43011131130303223130
511433204413332200
6241222354441524
721214040502445
oct3053534635334
9667233313307
10212021230300
1181a10503480
12351115932a4
1316cbb9a80b9
14a3948682cc
1557ad9da41a
hex315d733adc

212021230300 has 144 divisors (see below), whose sum is σ = 506261847168. Its totient is φ = 76433414400.

The previous prime is 212021230297. The next prime is 212021230307. The reversal of 212021230300 is 3032120212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021230307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66525307 + ... + 66528493.

It is an arithmetic number, because the mean of its divisors is an integer number (3515707272).

Almost surely, 2212021230300 is an apocalyptic number.

212021230300 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 212021230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253130923584).

212021230300 is an abundant number, since it is smaller than the sum of its proper divisors (294240616868).

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

212021230300 is a wasteful number, since it uses less digits than its factorization.

212021230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212021230300 its reverse (3032120212), we get a palindrome (215053350512).

It can be divided in two parts, 2120212 and 30300, that added together give a palindrome (2150512).

The spelling of 212021230300 in words is "two hundred twelve billion, twenty-one million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 307 394 550 614 788 985 1100 1228 1535 1970 2167 3070 3187 3377 3940 4334 4925 6140 6374 6754 7675 8668 9850 10835 12748 13508 15350 15935 16885 19700 21670 30700 31870 33770 35057 43340 54175 60479 63740 67540 70114 79675 84425 108350 120958 140228 159350 168850 175285 216700 241916 302395 318700 337700 350570 604790 627839 665269 701140 876425 978409 1209580 1255678 1330538 1511975 1752850 1956818 2511356 2661076 3023950 3139195 3326345 3505700 3913636 4892045 6047900 6278390 6652690 6906229 9784090 10762499 12556780 13305380 13812458 15695975 16631725 19568180 21524998 24460225 27624916 31391950 33263450 34531145 43049996 48920450 53812495 62783900 66526900 69062290 97840900 107624990 138124580 172655725 192746573 215249980 269062475 345311450 385493146 538124950 690622900 770986292 963732865 1076249900 1927465730 2120212303 3854931460 4240424606 4818664325 8480849212 9637328650 10601061515 19274657300 21202123030 42404246060 53005307575 106010615150 212021230300