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10212012010220 = 2252989109216651
BaseRepresentation
bin1001010010011010101101…
…0110010010101011101100
31100011020222200020021121012
42110212223112102223230
52314303200033311340
633415200014124352
72102536114606256
oct224465326225354
940136880207535
1010212012010220
11328798760a299
12118b1a61b06b8
13590cb0c55a47
1427439a676cd6
1512a987c0b565
hex949ab592aec

10212012010220 has 144 divisors (see below), whose sum is σ = 22643046568800. Its totient is φ = 3863626905600.

The previous prime is 10212012010219. The next prime is 10212012010279. The reversal of 10212012010220 is 2201021021201.

10212012010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102120120102203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212012010195 and 10212012010204.

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, 613288895 + ... + 613305545.

It is an arithmetic number, because the mean of its divisors is an integer number (157243378950).

Almost surely, 210212012010220 is an apocalyptic number.

10212012010220 is a gapful number since it is divisible by the number (10) 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 10212012010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321523284400).

10212012010220 is an abundant number, since it is smaller than the sum of its proper divisors (12431034558580).

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

10212012010220 is a wasteful number, since it uses less digits than its factorization.

10212012010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16996 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212012010220 its reverse (2201021021201), we get a palindrome (12413033031421).

The spelling of 10212012010220 in words is "ten trillion, two hundred twelve billion, twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 109 116 145 178 218 290 356 436 445 545 580 890 1090 1780 2180 2581 3161 5162 6322 9701 10324 11881 12644 12905 15805 16651 19402 23762 25810 31610 33302 38804 47524 48505 51620 59405 63220 66604 83255 97010 118810 166510 194020 237620 281329 333020 344549 482879 562658 689098 965758 1057409 1125316 1378196 1406645 1481939 1722745 1814959 1931516 2114818 2414395 2813290 2963878 3445490 3629918 4229636 4828790 5287045 5626580 5927756 6890980 7259836 7409695 9074795 9657580 10574090 14819390 18149590 21148180 29638780 30664861 36299180 42976231 52633811 61329722 85952462 105267622 122659444 153324305 161531351 171904924 197830531 210535244 214881155 263169055 306648610 323062702 395661062 429762310 526338110 613297220 646125404 791322124 807656755 859524620 989152655 1052676220 1615313510 1978305310 3230627020 3956610620 4684409179 5737085399 9368818358 11474170798 17606917259 18737636716 22948341596 23422045895 28685426995 35213834518 46844091790 57370853990 70427669036 88034586295 93688183580 114741707980 176069172590 352138345180 510600600511 1021201201022 2042402402044 2553003002555 5106006005110 10212012010220