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212000103020 = 225294112377207
BaseRepresentation
bin1100010101110000110…
…0001101101001101100
3202021012122121002011102
43011130030031221230
511433134011244040
6241220321542232
721213363100046
oct3053414155154
9667178532142
10212000103020
11819aa593212
12351064a4978
1316cb74bb854
14a391b28a96
1557abc15515
hex315c30da6c

212000103020 has 96 divisors (see below), whose sum is σ = 472231831680. Its totient is φ = 79803279360.

The previous prime is 212000102987. The next prime is 212000103023. The reversal of 212000103020 is 20301000212.

It is a happy number.

It is a super-2 number, since 2×2120001030202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212000102992 and 212000103010.

It is not an unprimeable number, because it can be changed into a prime (212000103023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29412257 + ... + 29419463.

It is an arithmetic number, because the mean of its divisors is an integer number (4919081580).

Almost surely, 2212000103020 is an apocalyptic number.

212000103020 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 212000103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236115915840).

212000103020 is an abundant number, since it is smaller than the sum of its proper divisors (260231728660).

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

212000103020 is a wasteful number, since it uses less digits than its factorization.

212000103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212000103020 its reverse (20301000212), we get a palindrome (232301103232).

The spelling of 212000103020 in words is "two hundred twelve billion, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 1237 2378 2474 4756 4948 5945 6185 7207 11890 12370 14414 23780 24740 28828 35873 36035 50717 71746 72070 101434 143492 144140 179365 202868 209003 253585 295487 358730 418006 507170 590974 717460 836012 1014340 1045015 1181948 1470793 1477435 2090030 2941586 2954870 4180060 5883172 5909740 7353965 8569123 8915059 14707930 17138246 17830118 29415860 34276492 35660236 42845615 44575295 85691230 89150590 171382460 178301180 258536711 365517419 517073422 731034838 1034146844 1292683555 1462069676 1827587095 2585367110 3655174190 5170734220 7310348380 10600005151 21200010302 42400020604 53000025755 106000051510 212000103020