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110201122010 = 257429158269
BaseRepresentation
bin110011010100001111…
…1111010110011011010
3101112110002212000220102
41212220133322303122
53301142441401020
6122343052255402
710650613040000
oct1465037726332
9345402760812
10110201122010
114281072a051
1219436171562
13a513087b05
145495bb8a70
152ceeac4475
hex19a87facda

110201122010 has 80 divisors (see below), whose sum is σ = 239389705800. Its totient is φ = 36480140928.

The previous prime is 110201122001. The next prime is 110201122019. The reversal of 110201122010 is 10221102011.

It is an interprime number because it is at equal distance from previous prime (110201122001) and next prime (110201122019).

It can be written as a sum of positive squares in 4 ways, for example, as 86119358521 + 24081763489 = 293461^2 + 155183^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110201121982 and 110201122000.

It is not an unprimeable number, because it can be changed into a prime (110201122019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 617156 + ... + 775424.

Almost surely, 2110201122010 is an apocalyptic number.

110201122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110201122010 is an abundant number, since it is smaller than the sum of its proper divisors (129188583790).

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

110201122010 is an equidigital number, since it uses as much as digits as its factorization.

110201122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158333 (or 158312 counting only the distinct ones).

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

Adding to 110201122010 its reverse (10221102011), we get a palindrome (120422224021).

The spelling of 110201122010 in words is "one hundred ten billion, two hundred one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 343 406 490 686 1015 1421 1715 2030 2401 2842 3430 4802 7105 9947 12005 14210 19894 24010 49735 69629 99470 139258 158269 316538 348145 696290 791345 1107883 1582690 2215766 4589801 5539415 7755181 9179602 11078830 15510362 22949005 32128607 38775905 45898010 54286267 64257214 77551810 108572534 160643035 224900249 271431335 321286070 380003869 449800498 542862670 760007738 1124501245 1574301743 1900019345 2249002490 3148603486 3800038690 7871508715 11020112201 15743017430 22040224402 55100561005 110201122010