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212324120300 = 2252192233371487
BaseRepresentation
bin1100010110111110000…
…0001111011011101100
3202022001020021212022102
43011233200033123230
511434314433322200
6241312414434232
721224406146615
oct3055740173354
9668036255272
10212324120300
1182056481196
1235196b02978
1317039678456
14a3c2b90c0c
1557ca3ba6d5
hex316f80f6ec

212324120300 has 144 divisors (see below), whose sum is σ = 488942039040. Its totient is φ = 79807472640.

The previous prime is 212324120237. The next prime is 212324120303. The reversal of 212324120300 is 3021423212.

It is a super-2 number, since 2×2123241203002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212324120303) 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, 142786157 + ... + 142787643.

Almost surely, 2212324120300 is an apocalyptic number.

212324120300 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 212324120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244471019520).

212324120300 is an abundant number, since it is smaller than the sum of its proper divisors (276617918740).

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

212324120300 is a wasteful number, since it uses less digits than its factorization.

212324120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212324120300 its reverse (3021423212), we get a palindrome (215345543512).

The spelling of 212324120300 in words is "two hundred twelve billion, three hundred twenty-four million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 223 337 380 446 475 674 892 950 1115 1348 1487 1685 1900 2230 2974 3370 4237 4460 5575 5948 6403 6740 7435 8425 8474 11150 12806 14870 16850 16948 21185 22300 25612 28253 29740 32015 33700 37175 42370 56506 64030 74350 75151 84740 105925 113012 128060 141265 148700 150302 160075 211850 282530 300604 320150 331601 375755 423700 501119 565060 640300 663202 706325 751510 1002238 1326404 1412650 1427869 1503020 1658005 1878775 2004476 2505595 2825300 2855738 3316010 3757550 5011190 5711476 6300419 6632020 7139345 7515100 8290025 9521261 10022380 12527975 12600838 14278690 16580050 19042522 25055950 25201676 28557380 31502095 33160100 35696725 38085044 47606305 50111900 63004190 71393450 95212610 111749537 126008380 142786900 157510475 190425220 223499074 238031525 315020950 446998148 476063050 558747685 630041900 952126100 1117495370 2123241203 2234990740 2793738425 4246482406 5587476850 8492964812 10616206015 11174953700 21232412030 42464824060 53081030075 106162060150 212324120300