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110422020420 = 2234568161741
BaseRepresentation
bin110011011010110101…
…0100101000101000100
3101120000111111211120000
41212311222211011010
53302121014123140
6122421023041300
710656234454455
oct1466552450504
9346014454500
10110422020420
1142914396318
1219498140230
13a549a7b42a
1454b727b12c
152d141aaa30
hex19b5aa5144

110422020420 has 60 divisors (see below), whose sum is σ = 346397972844. Its totient is φ = 29445871680.

The previous prime is 110422020343. The next prime is 110422020437. The reversal of 110422020420 is 24020224011.

110422020420 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 220 + 20 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52035996996 + 58386023424 = 228114^2 + 241632^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 110422020393 and 110422020402.

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 19 ways as a sum of consecutive naturals, for example, 34079251 + ... + 34082490.

Almost surely, 2110422020420 is an apocalyptic number.

110422020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110422020420 is an abundant number, since it is smaller than the sum of its proper divisors (235975952424).

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

110422020420 is a wasteful number, since it uses less digits than its factorization.

110422020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68161762 (or 68161751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 110422020420 its reverse (24020224011), we get a palindrome (134442244431).

The spelling of 110422020420 in words is "one hundred ten billion, four hundred twenty-two million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 68161741 136323482 204485223 272646964 340808705 408970446 613455669 681617410 817940892 1022426115 1226911338 1363234820 1840367007 2044852230 2453822676 3067278345 3680734014 4089704460 5521101021 6134556690 7361468028 9201835035 11042202042 12269113380 18403670070 22084404084 27605505105 36807340140 55211010210 110422020420