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11414301210 = 23251333728949
BaseRepresentation
bin10101010000101100…
…00110101000011010
31002110111000120122200
422220112012220122
5141334030114320
65124344031030
7552566650044
oct125026065032
932414016580
1011414301210
114928091494
122266762476
1310cba054b0
147a3d18a94
1546c12a290
hex2a8586a1a

11414301210 has 96 divisors (see below), whose sum is σ = 32055987600. Its totient is φ = 2801240064.

The previous prime is 11414301193. The next prime is 11414301221. The reversal of 11414301210 is 1210341411.

11414301210 is a `hidden beast` number, since 11 + 414 + 30 + 1 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5314847409 + 6099453801 = 72903^2 + 78099^2 .

It is a super-2 number, since 2×114143012102 (a number of 21 digits) contains 22 as substring.

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

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, 379816 + ... + 408764.

Almost surely, 211414301210 is an apocalyptic number.

11414301210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414301210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027993800).

11414301210 is an abundant number, since it is smaller than the sum of its proper divisors (20641686390).

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

11414301210 is a wasteful number, since it uses less digits than its factorization.

11414301210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29312 (or 29309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11414301210 its reverse (1210341411), we get a palindrome (12624642621).

The spelling of 11414301210 in words is "eleven billion, four hundred fourteen million, three hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 337 390 585 674 1011 1170 1685 2022 3033 3370 4381 5055 6066 8762 10110 13143 15165 21905 26286 28949 30330 39429 43810 57898 65715 78858 86847 131430 144745 173694 197145 260541 289490 376337 394290 434235 521082 752674 868470 1129011 1302705 1881685 2258022 2605410 3387033 3763370 5645055 6774066 9755813 11290110 16935165 19511626 29267439 33870330 48779065 58534878 87802317 97558130 126825569 146337195 175604634 253651138 292674390 380476707 439011585 634127845 760953414 878023170 1141430121 1268255690 1902383535 2282860242 3804767070 5707150605 11414301210