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212430314200 = 235213591384813
BaseRepresentation
bin1100010111010111010…
…1010101101011011000
3202022022122010001221211
43011311311111223120
511440024130023300
6241331130512504
721230135610046
oct3056565255330
9668278101854
10212430314200
1182100413245
1235206595734
131705567a290
14a3d2d15396
1557d48954ba
hex3175d55ad8

212430314200 has 96 divisors (see below), whose sum is σ = 540908348400. Its totient is φ = 77106332160.

The previous prime is 212430314167. The next prime is 212430314249. The reversal of 212430314200 is 2413034212.

It is a super-2 number, since 2×2124303142002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539007 + ... + 845806.

Almost surely, 2212430314200 is an apocalyptic number.

212430314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212430314200 is an abundant number, since it is smaller than the sum of its proper divisors (328478034200).

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

212430314200 is a wasteful number, since it uses less digits than its factorization.

212430314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384901 (or 1384892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212430314200 its reverse (2413034212), we get a palindrome (214843348412).

The spelling of 212430314200 in words is "two hundred twelve billion, four hundred thirty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 130 200 236 260 295 325 472 520 590 650 767 1180 1300 1475 1534 2360 2600 2950 3068 3835 5900 6136 7670 11800 15340 19175 30680 38350 76700 153400 1384813 2769626 5539252 6924065 11078504 13848130 18002569 27696260 34620325 36005138 55392520 69240650 72010276 81703967 90012845 138481300 144020552 163407934 180025690 276962600 326815868 360051380 408519835 450064225 653631736 720102760 817039670 900128450 1062151571 1634079340 1800256900 2042599175 2124303142 3268158680 3600513800 4085198350 4248606284 5310757855 8170396700 8497212568 10621515710 16340793400 21243031420 26553789275 42486062840 53107578550 106215157100 212430314200