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110323121220 = 223251347146633
BaseRepresentation
bin110011010111111000…
…1010011110001000100
3101112202121102020100200
41212233301103301010
53301420204334340
6122403131210500
710653624025554
oct1465761236104
9345677366320
10110323121220
1142873586944
121946aba6a30
13a5324319b0
1454a8095164
152d0a672330
hex19afc53c44

110323121220 has 72 divisors (see below), whose sum is σ = 360388870296. Its totient is φ = 27156460032.

The previous prime is 110323121147. The next prime is 110323121263. The reversal of 110323121220 is 22121323011.

110323121220 is a `hidden beast` number, since 1 + 1 + 0 + 323 + 121 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24740676 + 110298380544 = 4974^2 + 332112^2 .

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 = 110323121193 and 110323121202.

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 23 ways as a sum of consecutive naturals, for example, 23570977 + ... + 23575656.

Almost surely, 2110323121220 is an apocalyptic number.

110323121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110323121220 is an abundant number, since it is smaller than the sum of its proper divisors (250065749076).

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

110323121220 is a wasteful number, since it uses less digits than its factorization.

110323121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47146661 (or 47146656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110323121220 its reverse (22121323011), we get a palindrome (132444444231).

The spelling of 110323121220 in words is "one hundred ten billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 47146633 94293266 141439899 188586532 235733165 282879798 424319697 471466330 565759596 612906229 707199495 848639394 942932660 1225812458 1414398990 1697278788 1838718687 2121598485 2451624916 2828797980 3064531145 3677437374 4243196970 5516156061 6129062290 7354874748 8486393940 9193593435 11032312122 12258124580 18387186870 22064624244 27580780305 36774373740 55161560610 110323121220