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134224320120 = 233511101685091
BaseRepresentation
bin111110100000001100…
…1001001011001111000
3110211110022201221102120
41331000121021121320
54144342411220440
6141354541001240
712461126616312
oct1750031113170
9424408657376
10134224320120
1151a19147390
122201b553220
13c871117137
1466d45327b2
153758b48dd0
hex1f40649678

134224320120 has 64 divisors (see below), whose sum is σ = 439279597440. Its totient is φ = 32539228800.

The previous prime is 134224320107. The next prime is 134224320203. The reversal of 134224320120 is 21023422431.

It is a happy number.

It is a super-2 number, since 2×1342243201202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 50841226 + ... + 50843865.

It is an arithmetic number, because the mean of its divisors is an integer number (6863743710).

Almost surely, 2134224320120 is an apocalyptic number.

134224320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134224320120 is an abundant number, since it is smaller than the sum of its proper divisors (305055277320).

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

134224320120 is a wasteful number, since it uses less digits than its factorization.

134224320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101685116 (or 101685112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134224320120 its reverse (21023422431), we get a palindrome (155247742551).

The spelling of 134224320120 in words is "one hundred thirty-four billion, two hundred twenty-four million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 101685091 203370182 305055273 406740364 508425455 610110546 813480728 1016850910 1118536001 1220221092 1525276365 2033701820 2237072002 2440442184 3050552730 3355608003 4067403640 4474144004 5592680005 6101105460 6711216006 8948288008 11185360010 12202210920 13422432012 16778040015 22370720020 26844864024 33556080030 44741440040 67112160060 134224320120