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10002011220110 = 2571387013126317
BaseRepresentation
bin1001000110001100011001…
…0100110110100010001110
31022102011221100200211011002
42101203012110312202032
52302333104333020420
633134505512300302
72051423106416630
oct221430624664216
938364840624132
1010002011220110
1132069136444a8
1211565593a1692
13577254a308b0
142681582a8a50
151252967c0075
hex918c653688e

10002011220110 has 64 divisors (see below), whose sum is σ = 22158731855232. Its totient is φ = 3165410244096.

The previous prime is 10002011220079. The next prime is 10002011220169. The reversal of 10002011220110 is 1102211020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002011220091 and 10002011220100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79118672 + ... + 79244988.

It is an arithmetic number, because the mean of its divisors is an integer number (346230185238).

Almost surely, 210002011220110 is an apocalyptic number.

10002011220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002011220110 is an abundant number, since it is smaller than the sum of its proper divisors (12156720635122).

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

10002011220110 is a wasteful number, since it uses less digits than its factorization.

10002011220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213357.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002011220110 its reverse (1102211020001), we get a palindrome (11104222240111).

The spelling of 10002011220110 in words is "ten trillion, two billion, eleven million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 87013 126317 174026 252634 435065 609091 631585 870130 884219 1131169 1218182 1263170 1642121 1768438 2262338 3045455 3284242 4421095 5655845 6090910 7918183 8210605 8842190 11311690 11494847 15836366 16421210 22989694 39590915 57474235 79181830 114948470 10991221121 21982442242 54956105605 76938547847 109912211210 142885874573 153877095694 285771749146 384692739235 714429372865 769385478470 1000201122011 1428858745730 2000402244022 5001005610055 10002011220110