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20110114242 = 23310116322621
BaseRepresentation
bin10010101110101001…
…111111110111000010
31220220111201122121000
4102232221333313002
5312141142123432
613123301312430
71311230102451
oct225651776702
956814648530
1020110114242
11858a6a9529
123a92a05716
131b8644ccaa
14d8ab8ab98
157ca76c57c
hex4aea7fdc2

20110114242 has 64 divisors (see below), whose sum is σ = 45410497920. Its totient is φ = 6595992000.

The previous prime is 20110114217. The next prime is 20110114247. The reversal of 20110114242 is 24241101102.

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

It is not an unprimeable number, because it can be changed into a prime (20110114247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877692 + ... + 900312.

It is an arithmetic number, because the mean of its divisors is an integer number (709539030).

Almost surely, 220110114242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110114242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705248960).

20110114242 is an abundant number, since it is smaller than the sum of its proper divisors (25300383678).

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

20110114242 is a wasteful number, since it uses less digits than its factorization.

20110114242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22896 (or 22890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20110114242 its reverse (24241101102), we get a palindrome (44351215344).

The spelling of 20110114242 in words is "twenty billion, one hundred ten million, one hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 163 202 303 326 489 606 909 978 1467 1818 2727 2934 4401 5454 8802 16463 22621 32926 45242 49389 67863 98778 135726 148167 203589 296334 407178 444501 610767 889002 1221534 2284721 3687223 4569442 6854163 7374446 11061669 13708326 20562489 22123338 33185007 41124978 61687467 66370014 99555021 123374934 199110042 372409523 744819046 1117228569 2234457138 3351685707 6703371414 10055057121 20110114242