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212234142300 = 223522937659317
BaseRepresentation
bin1100010110101000100…
…1000000001001011100
3202021210221222111200220
43011222021000021130
511434123420023200
6241255442121340
721222234305235
oct3055211001134
9667727874626
10212234142300
118200a705404
1235170950250
1317023b3352b
14a3b4c4c08c
1557c25454a0
hex316a24025c

212234142300 has 144 divisors (see below), whose sum is σ = 652408347360. Its totient is φ = 53167242240.

The previous prime is 212234142283. The next prime is 212234142317. The reversal of 212234142300 is 3241432212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212234142283) and next prime (212234142317).

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, 7759 + ... + 651558.

Almost surely, 2212234142300 is an apocalyptic number.

212234142300 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 212234142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326204173680).

212234142300 is an abundant number, since it is smaller than the sum of its proper divisors (440174205060).

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

212234142300 is a wasteful number, since it uses less digits than its factorization.

212234142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659400 (or 659393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212234142300 its reverse (3241432212), we get a palindrome (215475574512).

The spelling of 212234142300 in words is "two hundred twelve billion, two hundred thirty-four million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 348 370 435 444 555 580 725 740 870 925 1073 1110 1450 1740 1850 2146 2175 2220 2775 2900 3219 3700 4292 4350 5365 5550 6438 8700 10730 11100 12876 16095 21460 26825 32190 53650 64380 80475 107300 160950 321900 659317 1318634 1977951 2637268 3296585 3955902 6593170 7911804 9889755 13186340 16482925 19120193 19779510 24394729 32965850 38240386 39559020 48789458 49448775 57360579 65931700 73184187 76480772 95600965 97578916 98897550 114721158 121973645 146368374 191201930 197795100 229442316 243947290 286802895 292736748 365920935 382403860 478004825 487894580 573605790 609868225 707447141 731841870 956009650 1147211580 1219736450 1414894282 1434014475 1463683740 1829604675 1912019300 2122341423 2439472900 2829788564 2868028950 3537235705 3659209350 4244682846 5736057900 7074471410 7318418700 8489365692 10611707115 14148942820 17686178525 21223414230 35372357050 42446828460 53058535575 70744714100 106117071150 212234142300