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31200420420 = 223251313333513
BaseRepresentation
bin11101000011101100…
…001010001001000100
32222112102002120121200
4131003230022021010
51002344301423140
622155553142500
72153114124561
oct350354121104
988472076550
1031200420420
1112260907724
126068b5aa30
132c32ca5a40
14171da47868
15c291e9030
hex743b0a244

31200420420 has 72 divisors (see below), whose sum is σ = 101921381016. Its totient is φ = 7680102912.

The previous prime is 31200420413. The next prime is 31200420421. The reversal of 31200420420 is 2402400213.

31200420420 is a `hidden beast` number, since 3 + 1 + 200 + 42 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 31195330884 = 2256^2 + 176622^2 .

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 = 31200420393 and 31200420402.

It is not an unprimeable number, because it can be changed into a prime (31200420421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6664417 + ... + 6669096.

Almost surely, 231200420420 is an apocalyptic number.

31200420420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200420420 is an abundant number, since it is smaller than the sum of its proper divisors (70720960596).

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

31200420420 is a wasteful number, since it uses less digits than its factorization.

31200420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333541 (or 13333536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31200420420 its reverse (2402400213), we get a palindrome (33602820633).

The spelling of 31200420420 in words is "thirty-one billion, two hundred million, four hundred twenty thousand, four 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 13333513 26667026 40000539 53334052 66667565 80001078 120001617 133335130 160002156 173335669 200002695 240003234 266670260 346671338 400005390 480006468 520007007 600008085 693342676 800010780 866678345 1040014014 1200016170 1560021021 1733356690 2080028028 2400032340 2600035035 3120042042 3466713380 5200070070 6240084084 7800105105 10400140140 15600210210 31200420420