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212012100030 = 235294122372657
BaseRepresentation
bin1100010101110011100…
…1111110100110111110
3202021020111011120222010
43011130321332212332
511433200044200110
6241221431032050
721213600054543
oct3053471764676
9667214146863
10212012100030
1181a063377a5
123510a50b626
1316cb9b2c383
14a39356cbca
1557accd5020
hex315ce7e9be

212012100030 has 128 divisors (see below), whose sum is σ = 539657354880. Its totient is φ = 53211791360.

The previous prime is 212012100019. The next prime is 212012100037. The reversal of 212012100030 is 30001210212.

212012100030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212012099979 and 212012100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012100037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79792462 + ... + 79795118.

It is an arithmetic number, because the mean of its divisors is an integer number (4216073085).

Almost surely, 2212012100030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269828677440).

212012100030 is an abundant number, since it is smaller than the sum of its proper divisors (327645254850).

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

212012100030 is a wasteful number, since it uses less digits than its factorization.

212012100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212012100030 its reverse (30001210212), we get a palindrome (242013310242).

The spelling of 212012100030 in words is "two hundred twelve billion, twelve million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 290 410 435 615 870 1189 1230 2237 2378 2657 3567 4474 5314 5945 6711 7134 7971 11185 11890 13285 13422 15942 17835 22370 26570 33555 35670 39855 64873 67110 77053 79710 91717 108937 129746 154106 183434 194619 217874 231159 275151 324365 326811 385265 389238 458585 462318 544685 550302 648730 653622 770530 917170 973095 1089370 1155795 1375755 1634055 1946190 2311590 2659793 2751510 3159173 3268110 5319586 5943709 6318346 7979379 9477519 11887418 13298965 15795865 15958758 17831127 18955038 26597930 29718545 31591730 35662254 39896895 47387595 59437090 79793790 89155635 94775190 172367561 178311270 243692069 344735122 487384138 517102683 731076207 861837805 1034205366 1218460345 1462152414 1723675610 2436920690 2585513415 3655381035 5171026830 7067070001 7310762070 14134140002 21201210003 35335350005 42402420006 70670700010 106006050015 212012100030