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110330013420 = 223251155722229
BaseRepresentation
bin110011011000000101…
…1100110011011101100
3101112210002101101200100
41212300023212123230
53301423440412140
6122403535031100
710654036432464
oct1466013463354
9345702341610
10110330013420
1142877464080
121947136b490
13a5339a5b13
1454a8d6aba4
152d0b084530
hex19b02e66ec

110330013420 has 72 divisors (see below), whose sum is σ = 365092050960. Its totient is φ = 26746669440.

The previous prime is 110330013419. The next prime is 110330013427. The reversal of 110330013420 is 24310033011.

It is a super-2 number, since 2×1103300134202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 110330013393 and 110330013402.

It is not an unprimeable number, because it can be changed into a prime (110330013427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27859135 + ... + 27863094.

It is an arithmetic number, because the mean of its divisors is an integer number (5070722930).

Almost surely, 2110330013420 is an apocalyptic number.

110330013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110330013420 is an abundant number, since it is smaller than the sum of its proper divisors (254762037540).

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

110330013420 is a wasteful number, since it uses less digits than its factorization.

110330013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55722255 (or 55722250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110330013420 its reverse (24310033011), we get a palindrome (134640046431).

The spelling of 110330013420 in words is "one hundred ten billion, three hundred thirty million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 55722229 111444458 167166687 222888916 278611145 334333374 501500061 557222290 612944519 668666748 835833435 1003000122 1114444580 1225889038 1671666870 1838833557 2006000244 2451778076 2507500305 3064722595 3343333740 3677667114 5015000610 5516500671 6129445190 7355334228 9194167785 10030001220 11033001342 12258890380 18388335570 22066002684 27582503355 36776671140 55165006710 110330013420