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20130210232 = 23113743143779
BaseRepresentation
bin10010101111110110…
…101010000110111000
31220221220112122002221
4102233312222012320
5312211313211412
613125300133424
71311562651366
oct225766520670
956856478087
1020130210232
11859aa84990
123a99697274
131b8a668002
14d8d6dc636
157cc3dbb07
hex4afdaa1b8

20130210232 has 64 divisors (see below), whose sum is σ = 43272028800. Its totient is φ = 8695693440.

The previous prime is 20130210209. The next prime is 20130210241. The reversal of 20130210232 is 23201203102.

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 15 ways as a sum of consecutive naturals, for example, 68119 + ... + 211897.

It is an arithmetic number, because the mean of its divisors is an integer number (676125450).

Almost surely, 220130210232 is an apocalyptic number.

20130210232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636014400).

20130210232 is an abundant number, since it is smaller than the sum of its proper divisors (23141818568).

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

20130210232 is a wasteful number, since it uses less digits than its factorization.

20130210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143876 (or 143872 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20130210232 its reverse (23201203102), we get a palindrome (43331413334).

The spelling of 20130210232 in words is "twenty billion, one hundred thirty million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 37 43 44 74 86 88 148 172 296 344 407 473 814 946 1591 1628 1892 3182 3256 3784 6364 12728 17501 35002 70004 140008 143779 287558 575116 1150232 1581569 3163138 5319823 6182497 6326276 10639646 12364994 12652552 21279292 24729988 42558584 49459976 58518053 68007467 117036106 136014934 228752389 234072212 272029868 457504778 468144424 544059736 915009556 1830019112 2516276279 5032552558 10065105116 20130210232