Search a number
-
+
20242405110 = 23523313725577
BaseRepresentation
bin10010110110100010…
…101001011011110110
31221020201122201112210
4102312202221123312
5312424023430420
613144344554250
71314424414224
oct226642513366
957221581483
1020242405110
118648345624
123b0b182986
131ba798b405
14da0585b14
157d719e9e0
hex4b68a96f6

20242405110 has 128 divisors (see below), whose sum is σ = 53745721344. Its totient is φ = 4861486080.

The previous prime is 20242405103. The next prime is 20242405123. The reversal of 20242405110 is 1150424202.

It is a super-2 number, since 2×202424051102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 778642 + ... + 804218.

It is an arithmetic number, because the mean of its divisors is an integer number (419888448).

Almost surely, 220242405110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242405110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872860672).

20242405110 is an abundant number, since it is smaller than the sum of its proper divisors (33503316234).

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

20242405110 is a wasteful number, since it uses less digits than its factorization.

20242405110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25678.

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 20242405110 its reverse (1150424202), we get a palindrome (21392829312).

The spelling of 20242405110 in words is "twenty billion, two hundred forty-two million, four hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 37 46 62 69 74 93 111 115 138 155 185 186 222 230 310 345 370 465 555 690 713 851 930 1110 1147 1426 1702 2139 2294 2553 3441 3565 4255 4278 5106 5735 6882 7130 8510 10695 11470 12765 17205 21390 25530 25577 26381 34410 51154 52762 76731 79143 127885 131905 153462 158286 255770 263810 383655 395715 588271 767310 791430 792887 946349 1176542 1585774 1764813 1892698 2378661 2839047 2941355 3529626 3964435 4731745 4757322 5678094 5882710 7928870 8824065 9463490 11893305 14195235 17648130 18236401 21766027 23786610 28390470 29336819 36472802 43532054 54709203 58673638 65298081 88010457 91182005 108830135 109418406 130596162 146684095 176020914 182364010 217660270 273546015 293368190 326490405 440052285 547092030 652980810 674746837 880104570 1349493674 2024240511 3373734185 4048481022 6747468370 10121202555 20242405110