Search a number
-
+
110422343130 = 235111990719417
BaseRepresentation
bin110011011010110101…
…1110011110111011010
3101120000112010020020020
41212311223303313122
53302121104440010
6122421034011310
710656240300351
oct1466553636732
9346015106206
10110422343130
1142914596820
1219498276b36
13a549b62298
1454b7322998
152d14221470
hex19b5af3dda

110422343130 has 128 divisors (see below), whose sum is σ = 304673080320. Its totient is φ = 25330890240.

The previous prime is 110422343107. The next prime is 110422343131. The reversal of 110422343130 is 31343224011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 110422343130.

It is not an unprimeable number, because it can be changed into a prime (110422343131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5677182 + ... + 5696598.

It is an arithmetic number, because the mean of its divisors is an integer number (2380258440).

Almost surely, 2110422343130 is an apocalyptic number.

110422343130 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 110422343130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152336540160).

110422343130 is an abundant number, since it is smaller than the sum of its proper divisors (194250737190).

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

110422343130 is a wasteful number, since it uses less digits than its factorization.

110422343130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20364.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 110422343130 its reverse (31343224011), we get a palindrome (141765567141).

The spelling of 110422343130 in words is "one hundred ten billion, four hundred twenty-two million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 907 1045 1254 1814 2090 2721 3135 4535 5442 6270 9070 9977 13605 17233 19417 19954 27210 29931 34466 38834 49885 51699 58251 59862 86165 97085 99770 103398 116502 149655 172330 189563 194170 213587 258495 291255 299310 368923 379126 427174 516990 568689 582510 640761 737846 947815 1067935 1106769 1137378 1281522 1844615 1895630 2135870 2213538 2843445 3203805 3689230 4058153 5533845 5686890 6407610 8116306 11067690 12174459 17611219 20290765 24348918 35222438 40581530 52833657 60872295 88056095 105667314 121744590 176112190 193723409 264168285 334613161 387446818 528336570 581170227 669226322 968617045 1003839483 1162340454 1673065805 1937234090 2007678966 2905851135 3346131610 3680744771 5019197415 5811702270 7361489542 10038394830 11042234313 18403723855 22084468626 36807447710 55211171565 110422343130