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110314435220 = 225111134437427
BaseRepresentation
bin110011010111101000…
…0001011001010010100
3101112202000001221101222
41212233100023022110
53301410443411340
6122402221105512
710653460141133
oct1465720131224
9345660057358
10110314435220
1142869693a30
12194680b8298
13a5306b0252
1454a6c7391a
152d09a088b5
hex19af40b294

110314435220 has 48 divisors (see below), whose sum is σ = 254956863168. Its totient is φ = 39759336960.

The previous prime is 110314435199. The next prime is 110314435229. The reversal of 110314435220 is 22534413011.

It is a happy number.

110314435220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 110314435220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110314435229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193854 + ... + 2243573.

It is an arithmetic number, because the mean of its divisors is an integer number (5311601316).

Almost surely, 2110314435220 is an apocalyptic number.

110314435220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110314435220 is an abundant number, since it is smaller than the sum of its proper divisors (144642427948).

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

110314435220 is a wasteful number, since it uses less digits than its factorization.

110314435220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437560 (or 4437558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 110314435220 its reverse (22534413011), we get a palindrome (132848848231).

The spelling of 110314435220 in words is "one hundred ten billion, three hundred fourteen million, four hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 4437427 8874854 17749708 22187135 44374270 48811697 88748540 97623394 195246788 244058485 488116970 501429251 976233940 1002858502 2005717004 2507146255 5014292510 5515721761 10028585020 11031443522 22062887044 27578608805 55157217610 110314435220