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420112312020 = 223356611176983
BaseRepresentation
bin1100001110100001010…
…01010010011011010100
31111011101100102200101000
412013100221102123110
523340342222441040
6520555200503300
742231526506132
oct6072051223324
91434340380330
10420112312020
111521944a2075
126950691ab30
133080237a79b
1416495362752
15addc44c130
hex61d0a526d4

420112312020 has 96 divisors (see below), whose sum is σ = 1308994525440. Its totient is φ = 111860369280.

The previous prime is 420112312001. The next prime is 420112312027. The reversal of 420112312020 is 20213211024.

It is a happy number.

420112312020 is a `hidden beast` number, since 420 + 1 + 12 + 31 + 202 + 0 = 666.

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 = 420112311984 and 420112312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420112312027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 231552 + ... + 945431.

It is an arithmetic number, because the mean of its divisors is an integer number (13635359640).

Almost surely, 2420112312020 is an apocalyptic number.

It is an amenable number.

420112312020 is an abundant number, since it is smaller than the sum of its proper divisors (888882213420).

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

420112312020 is a wasteful number, since it uses less digits than its factorization.

420112312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177662 (or 1177654 counting only the distinct ones).

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

Adding to 420112312020 its reverse (20213211024), we get a palindrome (440325523044).

The spelling of 420112312020 in words is "four hundred twenty billion, one hundred twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 661 1322 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 17847 19830 23796 29745 35694 39660 59490 71388 89235 118980 178470 356940 1176983 2353966 3530949 4707932 5884915 7061898 10592847 11769830 14123796 17654745 21185694 23539660 31778541 35309490 42371388 52964235 63557082 70618980 105928470 127114164 158892705 211856940 317785410 635570820 777985763 1555971526 2333957289 3111943052 3889928815 4667914578 7001871867 7779857630 9335829156 11669786445 14003743734 15559715260 21005615601 23339572890 28007487468 35009359335 42011231202 46679145780 70018718670 84022462404 105028078005 140037437340 210056156010 420112312020