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110420413020 = 223253671671517
BaseRepresentation
bin110011011010110010…
…0011100101001011100
3101120000101111011121200
41212311210130221130
53302120111204040
6122420524355500
710656215011251
oct1466544345134
9346011434550
10110420413020
1142913498695
12194976a5b90
13a5496378c8
1454b6d7d428
152d13e8e630
hex19b591ca5c

110420413020 has 72 divisors (see below), whose sum is σ = 335854768704. Its totient is φ = 29365193088.

The previous prime is 110420413003. The next prime is 110420413049. The reversal of 110420413020 is 20314024011.

110420413020 is a `hidden beast` number, since 110 + 420 + 4 + 130 + 2 + 0 = 666.

It is a super-2 number, since 2×1104204130202 (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 = 110420412984 and 110420413002.

It is a congruent number.

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, 769699 + ... + 901818.

Almost surely, 2110420413020 is an apocalyptic number.

110420413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110420413020 is an abundant number, since it is smaller than the sum of its proper divisors (225434355684).

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

110420413020 is a wasteful number, since it uses less digits than its factorization.

110420413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671899 (or 1671894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110420413020 its reverse (20314024011), we get a palindrome (130734437031).

The spelling of 110420413020 in words is "one hundred ten billion, four hundred twenty million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 11010 13212 16515 22020 33030 66060 1671517 3343034 5014551 6686068 8357585 10029102 15043653 16715170 20058204 25072755 30087306 33430340 50145510 60174612 75218265 100291020 150436530 300873060 613446739 1226893478 1840340217 2453786956 3067233695 3680680434 5521020651 6134467390 7361360868 9201701085 11042041302 12268934780 18403402170 22084082604 27605103255 36806804340 55210206510 110420413020