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10212011110 = 257220840839
BaseRepresentation
bin10011000001010111…
…01110110001100110
3222100200200220200201
421200223232301212
5131403233323420
64405154501114
7511030443100
oct114053566146
928320626621
1010212011110
114370461104
121b8bb9479a
13c698bb832
146cc390570
153eb7db10a
hex260aeec66

10212011110 has 24 divisors (see below), whose sum is σ = 21382701840. Its totient is φ = 3501260784.

The previous prime is 10212011093. The next prime is 10212011113. The reversal of 10212011110 is 1111021201.

10212011110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10419930 + ... + 10420909.

It is an arithmetic number, because the mean of its divisors is an integer number (890945910).

Almost surely, 210212011110 is an apocalyptic number.

10212011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212011110 is an abundant number, since it is smaller than the sum of its proper divisors (11170690730).

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

10212011110 is a wasteful number, since it uses less digits than its factorization.

10212011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840860 (or 20840853 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10212011110 its reverse (1111021201), we get a palindrome (11323032311).

The spelling of 10212011110 in words is "ten billion, two hundred twelve million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 20840839 41681678 104204195 145885873 208408390 291771746 729429365 1021201111 1458858730 2042402222 5106005555 10212011110