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110342340300 = 223521797223049
BaseRepresentation
bin110011011000011101…
…0100111111011001100
3101112210221120122222110
41212300322213323030
53301440114342200
6122405055144020
710654246263063
oct1466072477314
9345727518873
10110342340300
1142883413485
1219475515010
13a53640082a
1454aa8591da
152d0c1bbb50
hex19b0ea7ecc

110342340300 has 144 divisors (see below), whose sum is σ = 341523453600. Its totient is φ = 27408138240.

The previous prime is 110342340293. The next prime is 110342340307. The reversal of 110342340300 is 3043243011.

It is an interprime number because it is at equal distance from previous prime (110342340293) and next prime (110342340307).

It is not an unprimeable number, because it can be changed into a prime (110342340307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383176 + ... + 606224.

It is an arithmetic number, because the mean of its divisors is an integer number (2371690650).

Almost surely, 2110342340300 is an apocalyptic number.

110342340300 is a gapful number since it is divisible by the number (10) 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 110342340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170761726800).

110342340300 is an abundant number, since it is smaller than the sum of its proper divisors (231181113300).

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

110342340300 is a wasteful number, since it uses less digits than its factorization.

110342340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223180 (or 223173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 110342340300 its reverse (3043243011), we get a palindrome (113385583311).

The spelling of 110342340300 in words is "one hundred ten billion, three hundred forty-two million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 97 100 102 150 170 194 204 255 291 300 340 388 425 485 510 582 850 970 1020 1164 1275 1455 1649 1700 1940 2425 2550 2910 3298 4850 4947 5100 5820 6596 7275 8245 9700 9894 14550 16490 19788 24735 29100 32980 41225 49470 82450 98940 123675 164900 223049 247350 446098 494700 669147 892196 1115245 1338294 2230490 2676588 3345735 3791833 4460980 5576225 6691470 7583666 11152450 11375499 13382940 15167332 16728675 18959165 21635753 22304900 22750998 33457350 37918330 43271506 45501996 56877495 64907259 66914700 75836660 86543012 94795825 108178765 113754990 129814518 189591650 216357530 227509980 259629036 284387475 324536295 367807801 379183300 432715060 540893825 568774950 649072590 735615602 1081787650 1103423403 1137549900 1298145180 1471231204 1622681475 1839039005 2163575300 2206846806 3245362950 3678078010 4413693612 5517117015 6490725900 7356156020 9195195025 11034234030 18390390050 22068468060 27585585075 36780780100 55171170150 110342340300