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10210212212220 = 2234529217331039
BaseRepresentation
bin1001010010010100000000…
…0100100110110111111100
31100011002100020121001220000
42110211000010212313330
52314241003311242340
633414301242154300
72102443401562626
oct224450004466774
940132306531800
1010210212212220
113287143683429
12118a9834b2990
13590a85106907
14274269613c16
1512a8cebe2d30
hex94940126dfc

10210212212220 has 120 divisors (see below), whose sum is σ = 33134290358400. Its totient is φ = 2628836235648.

The previous prime is 10210212212201. The next prime is 10210212212227. The reversal of 10210212212220 is 2221221201201.

It is a happy number.

10210212212220 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 212 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10210212212193 and 10210212212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210212212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108618540 + ... + 108712499.

It is an arithmetic number, because the mean of its divisors is an integer number (276119086320).

Almost surely, 210210212212220 is an apocalyptic number.

10210212212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210212212220 is an abundant number, since it is smaller than the sum of its proper divisors (22924078146180).

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

10210212212220 is a wasteful number, since it uses less digits than its factorization.

10210212212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217331089 (or 217331078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10210212212220 its reverse (2221221201201), we get a palindrome (12431433413421).

The spelling of 10210212212220 in words is "ten trillion, two hundred ten billion, two hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 217331039 434662078 651993117 869324156 1086655195 1303986234 1955979351 2173310390 2607972468 3259965585 3911958702 4346620780 5867938053 6302600131 6519931170 7823917404 9779896755 11735876106 12605200262 13039862340 17603814159 18907800393 19559793510 23471752212 25210400524 29339690265 31513000655 35207628318 37815600786 39119587020 56723401179 58679380530 63026001310 70415256636 75631201572 88019070795 94539001965 113446802358 117358761060 126052002620 170170203537 176038141590 189078003930 226893604716 283617005895 340340407074 352076283180 378156007860 510510610611 567234011790 680680814148 850851017685 1021021221222 1134468023580 1701702035370 2042042442444 2552553053055 3403404070740 5105106106110 10210212212220